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Finding the Third Proportional to 24,569 and 38,963

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Solution

The third proportional to 24,569 and 38,963 is: 61,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,569 : 38,963 = 38,963 : x
  2. Step 2: Convert to fraction form
    24,569/38,963 = 38,963/x
  3. Step 3: Cross multiply
    24,569x = 38,963 × 38,963
  4. Step 4: Simplify right side
    24,569x = 1,518,115,369
  5. Step 5: Solve for x
    x = 1,518,115,369/24,569
  6. Step 6: Final answer
    x = 61,789.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.