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Finding the Third Proportional to 40,729.50 and 54,060.75

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Solution

The third proportional to 40,729.50 and 54,060.75 is: 71,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,729.50 : 54,060.75 = 54,060.75 : x
  2. Step 2: Convert to fraction form
    40,729.50/54,060.75 = 54,060.75/x
  3. Step 3: Cross multiply
    40,729.50x = 54,060.75 × 54,060.75
  4. Step 4: Simplify right side
    40,729.50x = 2,922,564,690.56
  5. Step 5: Solve for x
    x = 2,922,564,690.56/40,729.50
  6. Step 6: Final answer
    x = 71,755.48

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.