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Finding the Third Proportional to 41,856.75 and 80,569.69

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Solution

The third proportional to 41,856.75 and 80,569.69 is: 155,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,856.75 : 80,569.69 = 80,569.69 : x
  2. Step 2: Convert to fraction form
    41,856.75/80,569.69 = 80,569.69/x
  3. Step 3: Cross multiply
    41,856.75x = 80,569.69 × 80,569.69
  4. Step 4: Simplify right side
    41,856.75x = 6,491,474,543.85
  5. Step 5: Solve for x
    x = 6,491,474,543.85/41,856.75
  6. Step 6: Final answer
    x = 155,087.88

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.