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Finding the Third Proportional to 41,131.50 and 55,738.50

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Solution

The third proportional to 41,131.50 and 55,738.50 is: 75,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,131.50 : 55,738.50 = 55,738.50 : x
  2. Step 2: Convert to fraction form
    41,131.50/55,738.50 = 55,738.50/x
  3. Step 3: Cross multiply
    41,131.50x = 55,738.50 × 55,738.50
  4. Step 4: Simplify right side
    41,131.50x = 3,106,780,382.25
  5. Step 5: Solve for x
    x = 3,106,780,382.25/41,131.50
  6. Step 6: Final answer
    x = 75,532.87

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.