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Finding the Third Proportional to 12,576.75 and 27,204

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Solution

The third proportional to 12,576.75 and 27,204 is: 58,843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.75 : 27,204 = 27,204 : x
  2. Step 2: Convert to fraction form
    12,576.75/27,204 = 27,204/x
  3. Step 3: Cross multiply
    12,576.75x = 27,204 × 27,204
  4. Step 4: Simplify right side
    12,576.75x = 740,057,616
  5. Step 5: Solve for x
    x = 740,057,616/12,576.75
  6. Step 6: Final answer
    x = 58,843.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.