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Finding the Third Proportional to 54,229.50 and 55,869.75

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Solution

The third proportional to 54,229.50 and 55,869.75 is: 57,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,229.50 : 55,869.75 = 55,869.75 : x
  2. Step 2: Convert to fraction form
    54,229.50/55,869.75 = 55,869.75/x
  3. Step 3: Cross multiply
    54,229.50x = 55,869.75 × 55,869.75
  4. Step 4: Simplify right side
    54,229.50x = 3,121,428,965.06
  5. Step 5: Solve for x
    x = 3,121,428,965.06/54,229.50
  6. Step 6: Final answer
    x = 57,559.61

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These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.