Math, asked by sm8094643, 3 months ago

Are the ratio from a proportion . also write the middle terms and extreme terms . 40 persons : 200 persons and rs 15 and rs 75​

Answers

Answered by TwilightShine
26

Answer :-

  • The given ratios form a proportion.

  • Means = 200 persons and Rs 15.
  • Extremes = 40 persons and Rs 75.

What to do?

  • Find out whether 40 persons and 200 persons is proportional to Rs 15 and Rs 75.

  • Write the middle terms and extreme terms.

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Step-by-step explanation :-

  • We know that in a proportion, the product of means is equal to the product of extremes.

Here,

  • Means = 200 and 15.
  • Extremes = 40 and 75.

Hence,

  \boxed{\sf Product  \: of  \: means = 200 \times 15 = 3000}

 \boxed{ \sf Product \:  of \:  extremes =40 \times 75 = 3000}

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Observation :-

  • We see that the product of means is equal to the product of extremes.

  • Hence, the given ratios form a proportion.

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Know more :-

What is a ratio?

  • A ratio is a comparison of two or more quantities of the same kind. Ratio doesn't exist between quantities of different kinds.

What is a proportion?

  • When two ratios have equal value, we say that they are in proportion.

What are extreme terms?

  • First and fourth terms of a proportion are called extreme terms.

What are mean terms?

  • Second and third terms of a proportion are called mean terms.

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