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Finding the Third Proportional to 11,988.44 and 18,149.22

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Solution

The third proportional to 11,988.44 and 18,149.22 is: 27,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,988.44 : 18,149.22 = 18,149.22 : x
  2. Step 2: Convert to fraction form
    11,988.44/18,149.22 = 18,149.22/x
  3. Step 3: Cross multiply
    11,988.44x = 18,149.22 × 18,149.22
  4. Step 4: Simplify right side
    11,988.44x = 329,394,141.24
  5. Step 5: Solve for x
    x = 329,394,141.24/11,988.44
  6. Step 6: Final answer
    x = 27,475.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.