56:30::78:____
What is the answer
Answers
Step-by-step explanation:
let the proportion be x
formula =a×d= b×c
so, 56×x=30×78
56×x= 2,340
x= 2340/56
x= 41.78
so, answer is 41.78 approx
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The missing term of the given proportions is 41.78 or 42 approx.
Given,
The proportions = 56:30::78:____.
To Find,
The missing term.
Solution,
Before solving the question, we must understand the concept of extreme and mean in the proportions.
Extreme:- If a proportion is written in ratio form using a colon, the extremes are the values that are furthest apart.
For example:- p : q :: r : s. In this, 'p' and 's' is the extreme of proportions.
Mean:- In proportions, the means are the values associated with the middle terms.
For example:- p : q :: r : s. In this, 'q' and 'r' is the mean of proportions.
So, to find the missing term, we will use the formula.
Product of extreme = product of mean.
⇒ p × s = q × r.
Let the missing term be x.
⇒ 56 × x = 30 × 78
⇒ 56x = 2340
On dividing, we get the value of x,
⇒ x = 41.78 or 42 approx.
The missing term of the given proportions is 41.78 or 42 approx.
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