Three numbers sum to 98. The first-to-second ratio is 2:3 and the second-to-third is 5:8. Find the second number:__________?
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Answer: B. 30
Explanation
Combining two sequential ratios into a single continuous ratio yields ten to fifteen to twenty-four. Summing the parts of the combined ratio gives a total of forty-nine proportional parts overall. Multiplying the fraction of parts for the second number by the total sum ninety-eight gives thirty. Combining ratios requires scaling intermediate terms to form a unified continuous proportional relationship. Proportional parts methods divide total given quantities according to fractional ratio shares. Checking proportional calculations by summing all resulting parts verifies total sum accuracy.
Financial partners divide business profits proportionally based on mutually agreed capital contribution ratios. Chemists combine ingredient quantities in continuous ratios when compounding complex chemical mixture solutions. Estate planners distribute inheritance assets among multiple beneficiaries according to specified fractional ratios. Option A suggests twenty which represents an incorrect ratio share calculation for the first part. Option C suggests forty-eight which corresponds to the third number's proportional share rather than second. Option D suggests fifty-eight which exceeds the total proportional allocation calculations significantly.
- Subject
- Mathematics
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- Mathematics
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