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Finding the Third Proportional to 12,180.38 and 17,247.94

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Solution

The third proportional to 12,180.38 and 17,247.94 is: 24,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.38 : 17,247.94 = 17,247.94 : x
  2. Step 2: Convert to fraction form
    12,180.38/17,247.94 = 17,247.94/x
  3. Step 3: Cross multiply
    12,180.38x = 17,247.94 × 17,247.94
  4. Step 4: Simplify right side
    12,180.38x = 297,491,348.00
  5. Step 5: Solve for x
    x = 297,491,348.00/12,180.38
  6. Step 6: Final answer
    x = 24,423.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.