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Finding the Third Proportional to 12,601 and 27,469

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Solution

The third proportional to 12,601 and 27,469 is: 59,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,601 : 27,469 = 27,469 : x
  2. Step 2: Convert to fraction form
    12,601/27,469 = 27,469/x
  3. Step 3: Cross multiply
    12,601x = 27,469 × 27,469
  4. Step 4: Simplify right side
    12,601x = 754,545,961
  5. Step 5: Solve for x
    x = 754,545,961/12,601
  6. Step 6: Final answer
    x = 59,879.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.