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Finding the Third Proportional to 10,519 and 17,531

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Solution

The third proportional to 10,519 and 17,531 is: 29,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519 : 17,531 = 17,531 : x
  2. Step 2: Convert to fraction form
    10,519/17,531 = 17,531/x
  3. Step 3: Cross multiply
    10,519x = 17,531 × 17,531
  4. Step 4: Simplify right side
    10,519x = 307,335,961
  5. Step 5: Solve for x
    x = 307,335,961/10,519
  6. Step 6: Final answer
    x = 29,217.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.