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Finding the Third Proportional to 36,180.50 and 55,910.88

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Solution

The third proportional to 36,180.50 and 55,910.88 is: 86,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,180.50 : 55,910.88 = 55,910.88 : x
  2. Step 2: Convert to fraction form
    36,180.50/55,910.88 = 55,910.88/x
  3. Step 3: Cross multiply
    36,180.50x = 55,910.88 × 55,910.88
  4. Step 4: Simplify right side
    36,180.50x = 3,126,025,943.27
  5. Step 5: Solve for x
    x = 3,126,025,943.27/36,180.50
  6. Step 6: Final answer
    x = 86,400.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.