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Finding the Third Proportional to 17,029 and 25,567

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Solution

The third proportional to 17,029 and 25,567 is: 38,385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,029 : 25,567 = 25,567 : x
  2. Step 2: Convert to fraction form
    17,029/25,567 = 25,567/x
  3. Step 3: Cross multiply
    17,029x = 25,567 × 25,567
  4. Step 4: Simplify right side
    17,029x = 653,671,489
  5. Step 5: Solve for x
    x = 653,671,489/17,029
  6. Step 6: Final answer
    x = 38,385.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.