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Finding the Third Proportional to 41,107.50 and 55,545.75

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Solution

The third proportional to 41,107.50 and 55,545.75 is: 75,055.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,107.50 : 55,545.75 = 55,545.75 : x
  2. Step 2: Convert to fraction form
    41,107.50/55,545.75 = 55,545.75/x
  3. Step 3: Cross multiply
    41,107.50x = 55,545.75 × 55,545.75
  4. Step 4: Simplify right side
    41,107.50x = 3,085,330,343.06
  5. Step 5: Solve for x
    x = 3,085,330,343.06/41,107.50
  6. Step 6: Final answer
    x = 75,055.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.