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Finding the Third Proportional to 36,914 and 86,663

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Solution

The third proportional to 36,914 and 86,663 is: 203,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,914 : 86,663 = 86,663 : x
  2. Step 2: Convert to fraction form
    36,914/86,663 = 86,663/x
  3. Step 3: Cross multiply
    36,914x = 86,663 × 86,663
  4. Step 4: Simplify right side
    36,914x = 7,510,475,569
  5. Step 5: Solve for x
    x = 7,510,475,569/36,914
  6. Step 6: Final answer
    x = 203,458.73

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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.