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Finding the Third Proportional to 17,002 and 36,587

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Solution

The third proportional to 17,002 and 36,587 is: 78,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002 : 36,587 = 36,587 : x
  2. Step 2: Convert to fraction form
    17,002/36,587 = 36,587/x
  3. Step 3: Cross multiply
    17,002x = 36,587 × 36,587
  4. Step 4: Simplify right side
    17,002x = 1,338,608,569
  5. Step 5: Solve for x
    x = 1,338,608,569/17,002
  6. Step 6: Final answer
    x = 78,732.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.