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Finding the Third Proportional to 18,189.56 and 38,581.31

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Solution

The third proportional to 18,189.56 and 38,581.31 is: 81,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,189.56 : 38,581.31 = 38,581.31 : x
  2. Step 2: Convert to fraction form
    18,189.56/38,581.31 = 38,581.31/x
  3. Step 3: Cross multiply
    18,189.56x = 38,581.31 × 38,581.31
  4. Step 4: Simplify right side
    18,189.56x = 1,488,517,674.22
  5. Step 5: Solve for x
    x = 1,488,517,674.22/18,189.56
  6. Step 6: Final answer
    x = 81,833.62

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.