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Finding the Third Proportional to 18,121.24 and 27,181.86

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Solution

The third proportional to 18,121.24 and 27,181.86 is: 40,772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,121.24 : 27,181.86 = 27,181.86 : x
  2. Step 2: Convert to fraction form
    18,121.24/27,181.86 = 27,181.86/x
  3. Step 3: Cross multiply
    18,121.24x = 27,181.86 × 27,181.86
  4. Step 4: Simplify right side
    18,121.24x = 738,853,392.81
  5. Step 5: Solve for x
    x = 738,853,392.81/18,121.24
  6. Step 6: Final answer
    x = 40,772.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.