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Step-by-step explanation:
3a÷7=8÷5
3a×5=8×7
3a×5=56
3a=56÷5
3a=11.2
a=11.2÷3
a=3.733
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Step-by-step explanation:
Given:-
3a:7=8:5
To find:-
Find the value of a?
Solution:-
Given proportion is 3a:7=8:5
Method -I:-
3a:7=8:5
=>3a/7=8/5
On applying cross multiplication then
=>3a×5=8×7
=>15a=56
=>a=56/15
The value of a=56/15
Method-II:-
Given proportion is 3a:7=8:5
Product of extremes=3a×5=15a
Product of means=8×7=56
In proportion,
Product of extremes= Product of means
=>15a=56
=>a=56/15
Answer:-
The value of a for the given problem=56/15
Used formulae:-
- Equality of ratios is called Proportion.
- Product of extremes=Product of means
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