Dangi and Tomar made it an India 1-2 in qualifications early in the morning with scores of 588 and 583 from the 60-shot round.
Russian Andrey Rublev has become the fifth singles player to qualify for the season-ending ATP Finals in Turin next month, the men's tour said.
It was also Patil's second senior world championship gold in his very first outing, having won the individual 10m air rifle event earlier.
Friday's match was a straight shootout for a last-four place, with world number five Rublev the favourite having won his four previous matches against Ruud.
IMAGES from the Europa League matches played on Thursday.
President Zelenskyy's telephonic conversation with Prime Minister Modi came hours after India abstained on a UN Security Council resolution by the United States that 'deplores in the strongest terms' Russia's 'aggression' against Ukraine.
Roger Federer said he is "definitely" intending to return to top-level tennis in 2023, but added that he had not made any concrete plans beyond his scheduled appearances at the Laver Cup and his home tournament in Basel later this year.
