(a)Find the numbers such that their mean proportion is 10 and third proportion is 112.
Answers
Answered by
2
Let’s assume the required numbers be a and b.
Given, 14 is the mean proportional between a and b.
a: 14 = 14: b
ab = 196
a = 196/b …. (1)
Also, given, third proportional to a and b is 112.
a: b = b: 112
b2 = 112a …. (2)
Using (1), we have:
b2=112×(196/b)b2=112×(196/b)
b3=143×23b3=143×23
b = 28
From (1),
a = 196/ 28 = 7
Step-by-step explanation:
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Answered by
1
Answer:
The number is 56.
Explanation:
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