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Finding the Third Proportional to 24,766 and 38,375

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Solution

The third proportional to 24,766 and 38,375 is: 59,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,766 : 38,375 = 38,375 : x
  2. Step 2: Convert to fraction form
    24,766/38,375 = 38,375/x
  3. Step 3: Cross multiply
    24,766x = 38,375 × 38,375
  4. Step 4: Simplify right side
    24,766x = 1,472,640,625
  5. Step 5: Solve for x
    x = 1,472,640,625/24,766
  6. Step 6: Final answer
    x = 59,462.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.