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Finding the Third Proportional to 12,456 and 27,234

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Solution

The third proportional to 12,456 and 27,234 is: 59,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456 : 27,234 = 27,234 : x
  2. Step 2: Convert to fraction form
    12,456/27,234 = 27,234/x
  3. Step 3: Cross multiply
    12,456x = 27,234 × 27,234
  4. Step 4: Simplify right side
    12,456x = 741,690,756
  5. Step 5: Solve for x
    x = 741,690,756/12,456
  6. Step 6: Final answer
    x = 59,544.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.