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Finding the Third Proportional to 12,591 and 24,849

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Solution

The third proportional to 12,591 and 24,849 is: 49,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591 : 24,849 = 24,849 : x
  2. Step 2: Convert to fraction form
    12,591/24,849 = 24,849/x
  3. Step 3: Cross multiply
    12,591x = 24,849 × 24,849
  4. Step 4: Simplify right side
    12,591x = 617,472,801
  5. Step 5: Solve for x
    x = 617,472,801/12,591
  6. Step 6: Final answer
    x = 49,040.81

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.