The fourth-seeded King beat Irina Falconi 6-2, 7-6 (5), and No. 7 Vandeweghe topped qualifier Aravane Rezai 6-2, 6-2. A third American, third-seeded Sloane Stephens, already advanced to the quarterfinals Tuesday.
Top-seeded Anastasia Pavlyuchenkova avoided an upset with a 6-2, 2-6, 6-3 victory over Melinda Czink.
Four seeded players have already been knocked out of the women's draw. The latest to go was eighth-seeded Olga Govortsova, who was beaten by 18-year-old Eugenie Bouchard 1-6, 6-0, 6-3. The win put Bouchard in her first career WTA Tour quarterfinal.
Qualifier Jana Cepelova also advanced to her first quarterfinal, beating Edina Gallovits-Hall 6-3, 6-4, and Magdalena Rybarikova topped Eleni Danilidou 6-3, 7-5.
On the men's side, fourth-seeded Tommy Haas beat Leonard Mayer 6-4, 7-5 to set up a quarterfinal with fellow German Tobias Kamke. Kamke beat Marinko Matosevic 6-4, 6-3. James Blake advanced with a 6-2, 6-4 victory over qualifier Marco Chiudinelli.
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