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Finding the Third Proportional to 15,857 and 24,469

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Solution

The third proportional to 15,857 and 24,469 is: 37,758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857 : 24,469 = 24,469 : x
  2. Step 2: Convert to fraction form
    15,857/24,469 = 24,469/x
  3. Step 3: Cross multiply
    15,857x = 24,469 × 24,469
  4. Step 4: Simplify right side
    15,857x = 598,731,961
  5. Step 5: Solve for x
    x = 598,731,961/15,857
  6. Step 6: Final answer
    x = 37,758.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.