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Finding the Third Proportional to 36,186 and 47,691

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Solution

The third proportional to 36,186 and 47,691 is: 62,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,186 : 47,691 = 47,691 : x
  2. Step 2: Convert to fraction form
    36,186/47,691 = 47,691/x
  3. Step 3: Cross multiply
    36,186x = 47,691 × 47,691
  4. Step 4: Simplify right side
    36,186x = 2,274,431,481
  5. Step 5: Solve for x
    x = 2,274,431,481/36,186
  6. Step 6: Final answer
    x = 62,853.91

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.