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Finding the Third Proportional to 17,531 and 38,569

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Solution

The third proportional to 17,531 and 38,569 is: 84,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531 : 38,569 = 38,569 : x
  2. Step 2: Convert to fraction form
    17,531/38,569 = 38,569/x
  3. Step 3: Cross multiply
    17,531x = 38,569 × 38,569
  4. Step 4: Simplify right side
    17,531x = 1,487,567,761
  5. Step 5: Solve for x
    x = 1,487,567,761/17,531
  6. Step 6: Final answer
    x = 84,853.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.