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Finding the Third Proportional to 36,217.13 and 48,331.69

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Solution

The third proportional to 36,217.13 and 48,331.69 is: 64,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,217.13 : 48,331.69 = 48,331.69 : x
  2. Step 2: Convert to fraction form
    36,217.13/48,331.69 = 48,331.69/x
  3. Step 3: Cross multiply
    36,217.13x = 48,331.69 × 48,331.69
  4. Step 4: Simplify right side
    36,217.13x = 2,335,952,016.60
  5. Step 5: Solve for x
    x = 2,335,952,016.60/36,217.13
  6. Step 6: Final answer
    x = 64,498.55

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.