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Finding the Third Proportional to 41,188.50 and 55,707.75

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Solution

The third proportional to 41,188.50 and 55,707.75 is: 75,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,188.50 : 55,707.75 = 55,707.75 : x
  2. Step 2: Convert to fraction form
    41,188.50/55,707.75 = 55,707.75/x
  3. Step 3: Cross multiply
    41,188.50x = 55,707.75 × 55,707.75
  4. Step 4: Simplify right side
    41,188.50x = 3,103,353,410.06
  5. Step 5: Solve for x
    x = 3,103,353,410.06/41,188.50
  6. Step 6: Final answer
    x = 75,345.14

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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.