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Finding the Third Proportional to 36,882 and 86,616

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Solution

The third proportional to 36,882 and 86,616 is: 203,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,882 : 86,616 = 86,616 : x
  2. Step 2: Convert to fraction form
    36,882/86,616 = 86,616/x
  3. Step 3: Cross multiply
    36,882x = 86,616 × 86,616
  4. Step 4: Simplify right side
    36,882x = 7,502,331,456
  5. Step 5: Solve for x
    x = 7,502,331,456/36,882
  6. Step 6: Final answer
    x = 203,414.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.