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Finding the Third Proportional to 36,404 and 54,863

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Solution

The third proportional to 36,404 and 54,863 is: 82,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,404 : 54,863 = 54,863 : x
  2. Step 2: Convert to fraction form
    36,404/54,863 = 54,863/x
  3. Step 3: Cross multiply
    36,404x = 54,863 × 54,863
  4. Step 4: Simplify right side
    36,404x = 3,009,948,769
  5. Step 5: Solve for x
    x = 3,009,948,769/36,404
  6. Step 6: Final answer
    x = 82,681.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.