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Finding the Third Proportional to 18,197.44 and 38,581.88

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Solution

The third proportional to 18,197.44 and 38,581.88 is: 81,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,197.44 : 38,581.88 = 38,581.88 : x
  2. Step 2: Convert to fraction form
    18,197.44/38,581.88 = 38,581.88/x
  3. Step 3: Cross multiply
    18,197.44x = 38,581.88 × 38,581.88
  4. Step 4: Simplify right side
    18,197.44x = 1,488,561,078.52
  5. Step 5: Solve for x
    x = 1,488,561,078.52/18,197.44
  6. Step 6: Final answer
    x = 81,800.59

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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.