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Finding the Third Proportional to 24,564 and 38,103

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Solution

The third proportional to 24,564 and 38,103 is: 59,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564 : 38,103 = 38,103 : x
  2. Step 2: Convert to fraction form
    24,564/38,103 = 38,103/x
  3. Step 3: Cross multiply
    24,564x = 38,103 × 38,103
  4. Step 4: Simplify right side
    24,564x = 1,451,838,609
  5. Step 5: Solve for x
    x = 1,451,838,609/24,564
  6. Step 6: Final answer
    x = 59,104.32

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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.