Question

Example 4: Find the third proportion to 2.4 kg, 9.6 kg.
Solution: Let the third proportion to 2.4 kg, 9.6 kg be x kg.
Then 2.4 kg, 9.6 kg and x kg are in continued proportion since b-= ac
So, 2.4/9.6 = 9.6/x or, x = (9.6 x 9.6)/2.4 = 38.4​

tis is the ans explanation pls

Answer 1

Step-by-step explanation:

a:b::c:d

use the given formula

to solve

the first proportion will be a in the formula

the second will be b

now since the third proportion has to be found,

the second will also be c

so eqn formed

$2.4 \div 9.6 = = 9.6 \div d \\ solving \\ 2.4 \div 9.6 \times 9.6 = 1 \div d \\ 2.4 \div 92.16 = 1 \div d \\ \:now \: let \: us \: reciprocate \: both \: the \: side \\ 92.16 \div 2.4 = d \\ d = 38.4 \\ \:$

this is your answer

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