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Finding the Third Proportional to 41,613.75 and 89,469.56

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Solution

The third proportional to 41,613.75 and 89,469.56 is: 192,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,613.75 : 89,469.56 = 89,469.56 : x
  2. Step 2: Convert to fraction form
    41,613.75/89,469.56 = 89,469.56/x
  3. Step 3: Cross multiply
    41,613.75x = 89,469.56 × 89,469.56
  4. Step 4: Simplify right side
    41,613.75x = 8,004,802,613.94
  5. Step 5: Solve for x
    x = 8,004,802,613.94/41,613.75
  6. Step 6: Final answer
    x = 192,359.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.