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Finding the Third Proportional to 39,712.50 and 55,545.75

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Solution

The third proportional to 39,712.50 and 55,545.75 is: 77,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,712.50 : 55,545.75 = 55,545.75 : x
  2. Step 2: Convert to fraction form
    39,712.50/55,545.75 = 55,545.75/x
  3. Step 3: Cross multiply
    39,712.50x = 55,545.75 × 55,545.75
  4. Step 4: Simplify right side
    39,712.50x = 3,085,330,343.06
  5. Step 5: Solve for x
    x = 3,085,330,343.06/39,712.50
  6. Step 6: Final answer
    x = 77,691.67

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.