Respuesta :
Answer:
8
Step-by-step explanation:
Let x = the unknown no.
Then
[tex]\frac{50}{20} = \frac{20}{x}[/tex]
50x = 400
x = 8
If the geometric mean of two numbers is 20, one number is 50 then the other number is 8
What is geometric mean?
"The geometric mean is the average rate of return of a set of values calculated using the products of the terms."
Formula to calculate geometric mean is
[tex]GM = \sqrt{x_{1}.x_{2} }[/tex]
Here,
GM = 20
[tex]x_{1}=50\\ x_{2} =?[/tex]
Substitute the values in the formula
[tex]20=\sqrt{50.x_{2} }[/tex]
Squaring on both sides
[tex]400=50(x_{2})\\ x_{2} =\frac{400}{50} \\x_{2}=8[/tex]
Hence, the other number is 8.
To learn more about Geometric Mean here
https://brainly.com/question/10668117
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