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Finding the Third Proportional to 36,382.50 and 54,349.31

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Solution

The third proportional to 36,382.50 and 54,349.31 is: 81,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,382.50 : 54,349.31 = 54,349.31 : x
  2. Step 2: Convert to fraction form
    36,382.50/54,349.31 = 54,349.31/x
  3. Step 3: Cross multiply
    36,382.50x = 54,349.31 × 54,349.31
  4. Step 4: Simplify right side
    36,382.50x = 2,953,847,769.22
  5. Step 5: Solve for x
    x = 2,953,847,769.22/36,382.50
  6. Step 6: Final answer
    x = 81,188.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.