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Finding the Third Proportional to 24,344 and 36,971

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Solution

The third proportional to 24,344 and 36,971 is: 56,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,344 : 36,971 = 36,971 : x
  2. Step 2: Convert to fraction form
    24,344/36,971 = 36,971/x
  3. Step 3: Cross multiply
    24,344x = 36,971 × 36,971
  4. Step 4: Simplify right side
    24,344x = 1,366,854,841
  5. Step 5: Solve for x
    x = 1,366,854,841/24,344
  6. Step 6: Final answer
    x = 56,147.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.