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Finding the Third Proportional to 40,726.50 and 71,793.75

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Solution

The third proportional to 40,726.50 and 71,793.75 is: 126,559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,726.50 : 71,793.75 = 71,793.75 : x
  2. Step 2: Convert to fraction form
    40,726.50/71,793.75 = 71,793.75/x
  3. Step 3: Cross multiply
    40,726.50x = 71,793.75 × 71,793.75
  4. Step 4: Simplify right side
    40,726.50x = 5,154,342,539.06
  5. Step 5: Solve for x
    x = 5,154,342,539.06/40,726.50
  6. Step 6: Final answer
    x = 126,559.92

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.