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Finding the Third Proportional to 37,082.81 and 87,490.13

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Solution

The third proportional to 37,082.81 and 87,490.13 is: 206,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,082.81 : 87,490.13 = 87,490.13 : x
  2. Step 2: Convert to fraction form
    37,082.81/87,490.13 = 87,490.13/x
  3. Step 3: Cross multiply
    37,082.81x = 87,490.13 × 87,490.13
  4. Step 4: Simplify right side
    37,082.81x = 7,654,521,972.52
  5. Step 5: Solve for x
    x = 7,654,521,972.52/37,082.81
  6. Step 6: Final answer
    x = 206,416.97

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.