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Finding the Third Proportional to 17,899 and 27,469

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Solution

The third proportional to 17,899 and 27,469 is: 42,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,899 : 27,469 = 27,469 : x
  2. Step 2: Convert to fraction form
    17,899/27,469 = 27,469/x
  3. Step 3: Cross multiply
    17,899x = 27,469 × 27,469
  4. Step 4: Simplify right side
    17,899x = 754,545,961
  5. Step 5: Solve for x
    x = 754,545,961/17,899
  6. Step 6: Final answer
    x = 42,155.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.