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Finding the Third Proportional to 12,546.38 and 18,472.88

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Solution

The third proportional to 12,546.38 and 18,472.88 is: 27,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.38 : 18,472.88 = 18,472.88 : x
  2. Step 2: Convert to fraction form
    12,546.38/18,472.88 = 18,472.88/x
  3. Step 3: Cross multiply
    12,546.38x = 18,472.88 × 18,472.88
  4. Step 4: Simplify right side
    12,546.38x = 341,247,110.77
  5. Step 5: Solve for x
    x = 341,247,110.77/12,546.38
  6. Step 6: Final answer
    x = 27,198.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.