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Finding the Third Proportional to 41,749.49 and 73,580.59

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Solution

The third proportional to 41,749.49 and 73,580.59 is: 129,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,749.49 : 73,580.59 = 73,580.59 : x
  2. Step 2: Convert to fraction form
    41,749.49/73,580.59 = 73,580.59/x
  3. Step 3: Cross multiply
    41,749.49x = 73,580.59 × 73,580.59
  4. Step 4: Simplify right side
    41,749.49x = 5,414,103,201.75
  5. Step 5: Solve for x
    x = 5,414,103,201.75/41,749.49
  6. Step 6: Final answer
    x = 129,680.71

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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.