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Finding the Third Proportional to 24,787 and 39,902

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Solution

The third proportional to 24,787 and 39,902 is: 64,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,787 : 39,902 = 39,902 : x
  2. Step 2: Convert to fraction form
    24,787/39,902 = 39,902/x
  3. Step 3: Cross multiply
    24,787x = 39,902 × 39,902
  4. Step 4: Simplify right side
    24,787x = 1,592,169,604
  5. Step 5: Solve for x
    x = 1,592,169,604/24,787
  6. Step 6: Final answer
    x = 64,234.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.