Tan would break at the first opportunity and stormed into a 5-1 lead in the early exchanges, with nerves and fatigue possibly getting the better of Boulter, and the Frenchwoman wrapped up the first set with three aces.
A correct challenge from Tan on her forehand allowed her to break Boulter's serve in game one of the second set, and the Brit's only positive aspect of the latter exchanges would be a comfortable hold in game three.
Tan would not drop another game on her way to round four, as despite having the backing of the home crowd, Boulter's fate was sealed with a double fault before her boyfriend Alex de Minaur took to the court.
However, De Minaur cruised to a straight-sets success to end Broady's hopes via a 6-3 6-4 7-5 success, but the 23-year-old did not comfortably serve for the match by any means.
After breaking back to level the third set at 5-5, Broady had four opportunities to force a tie-break on De Minaur's serve in the 12th game, although he failed to take any of them.
De Minaur also squandered three match points, but he took his fourth to seal a spot in the fourth round as Broady walked off the court to the rapturous support of the home crowd.
Mistake after mistake came Swiatek's way in the encounter, as she made 32 unforced errors and was broken three times in the second set to go down 6-4 6-2 to the world number 37.
Later in the day, court one witnessed an unforgettable four-set encounter between Nick Kyrgios and Stefanos Tsitsipas, who were not afraid to let their frustrations show and were hit with court violations for their troubles.
Kyrgios sparked concern after going down with an apparent hip issue after slipping, but the Australian - who served phenomenally on the night - recovered to win 6-7 (2-7) 6-4 6-3 7-6 (9-7).
Rafael Nadal had a squabble of his own with Lorenzo Sonego as the Spaniard progressed 6-1 6-2 6-4, while there were also wins for Simona Halep and Amanda Anisimova, the latter of whom defeated Coco Gauff in three sets. body check tags ::