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Finding the Third Proportional to 12,744 and 16,524

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Solution

The third proportional to 12,744 and 16,524 is: 21,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744 : 16,524 = 16,524 : x
  2. Step 2: Convert to fraction form
    12,744/16,524 = 16,524/x
  3. Step 3: Cross multiply
    12,744x = 16,524 × 16,524
  4. Step 4: Simplify right side
    12,744x = 273,042,576
  5. Step 5: Solve for x
    x = 273,042,576/12,744
  6. Step 6: Final answer
    x = 21,425.19

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.