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Finding the Third Proportional to 36,520.88 and 54,781.31

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Solution

The third proportional to 36,520.88 and 54,781.31 is: 82,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,520.88 : 54,781.31 = 54,781.31 : x
  2. Step 2: Convert to fraction form
    36,520.88/54,781.31 = 54,781.31/x
  3. Step 3: Cross multiply
    36,520.88x = 54,781.31 × 54,781.31
  4. Step 4: Simplify right side
    36,520.88x = 3,000,992,199.22
  5. Step 5: Solve for x
    x = 3,000,992,199.22/36,520.88
  6. Step 6: Final answer
    x = 82,171.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.