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Two numbers, 3 and a, have a geometric mean of 9. Find the value of a.

Two numbers, 3 and a, have a geometric mean of 9. Find the value of a.
asked 184k views
1 vote
Two numbers, 3 and a, have a geometric mean of 9. Find the value of a.

asked
User Venugopal Madathil
by
7.7k points

1 Answer

4 votes
The geometric mean of two numbers x and y is √(xy).

So, if the geometric mean of 3 and a is 9 =>

9 = √(3a)

=> 9^2 = 3a

=> a = 9^2 / 3

a = 81 / 3

a = 27

Answer: the value of a is 27.
answered
User Dorinand
by
7.7k points
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