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Finding the Third Proportional to 17,125 and 25,741

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Solution

The third proportional to 17,125 and 25,741 is: 38,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,125 : 25,741 = 25,741 : x
  2. Step 2: Convert to fraction form
    17,125/25,741 = 25,741/x
  3. Step 3: Cross multiply
    17,125x = 25,741 × 25,741
  4. Step 4: Simplify right side
    17,125x = 662,599,081
  5. Step 5: Solve for x
    x = 662,599,081/17,125
  6. Step 6: Final answer
    x = 38,691.92

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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.