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Finding the Third Proportional to 24,331 and 52,413

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Solution

The third proportional to 24,331 and 52,413 is: 112,906.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,331 : 52,413 = 52,413 : x
  2. Step 2: Convert to fraction form
    24,331/52,413 = 52,413/x
  3. Step 3: Cross multiply
    24,331x = 52,413 × 52,413
  4. Step 4: Simplify right side
    24,331x = 2,747,122,569
  5. Step 5: Solve for x
    x = 2,747,122,569/24,331
  6. Step 6: Final answer
    x = 112,906.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.