What is the third proportional to 3.5 and 5.6:___________?
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Answer: A. 8.96
Explanation
The third proportional formula requires that the ratio of the second number to the first equals the third to the second. Setting up the proportion equation gives the square of the second number divided by the first value. Multiplying five point six by five point six and dividing by three point five yields eight point ninety six. Proportions in arithmetic describe equality between two distinct ratios involving numerical values. Finding a third proportional value is a standard algebraic procedure used in geometric and algebraic scaling. Decimal multiplication and division require careful alignment of place values during manual calculation.
Proportional scaling is widely used in architectural drafting to maintain accurate model dimensions. Financial ratios rely on proportional relationships to compare company performance across different scales. Engineering design calculations utilize third proportional formulas to determine structural load limits. Option B suggests eight which is an incorrect rounding of the precise calculated decimal value. Option C proposes four point five which fails to satisfy the proportional division equation. Option D offers six point two which results from an arithmetic calculation error.
- Subject
- Mathematics
- Category
- Mathematics
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- —
- Difficulty
- medium
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