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Finding the Third Proportional to 41,451.75 and 84,027.38

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Solution

The third proportional to 41,451.75 and 84,027.38 is: 170,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,451.75 : 84,027.38 = 84,027.38 : x
  2. Step 2: Convert to fraction form
    41,451.75/84,027.38 = 84,027.38/x
  3. Step 3: Cross multiply
    41,451.75x = 84,027.38 × 84,027.38
  4. Step 4: Simplify right side
    41,451.75x = 7,060,599,749.39
  5. Step 5: Solve for x
    x = 7,060,599,749.39/41,451.75
  6. Step 6: Final answer
    x = 170,332.97

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.