Question

in a proportion three of the terms are given. the first, second and fourth terms are 16,24and 36 respectively


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Answer 1

The third term is 24.

Given:

• First term = 16
• Second term = 24
• Fourth term = 36

Solution:

Let the third term be x

step-by-step explanation:

We know that,

Products of extremes = product of means

So, According the question,

➡ 16 : 24 : : x : 36

➡ 16 × 36 = 24 × x

➡ 576 = 24x

➡ x = 576/24

➡ x = 24

So, The third term is 24.

Now, Verification

Products of extremes = product of means

Therefore,

➝ 16 : 24 : : 24 : 36

➝ 16 × 36 = 24 × 24

➝ 576 = 576

L.H.S = R.H.S

Hence, Proved.