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Finding the Third Proportional to 13,584 and 27,744

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Solution

The third proportional to 13,584 and 27,744 is: 56,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584 : 27,744 = 27,744 : x
  2. Step 2: Convert to fraction form
    13,584/27,744 = 27,744/x
  3. Step 3: Cross multiply
    13,584x = 27,744 × 27,744
  4. Step 4: Simplify right side
    13,584x = 769,729,536
  5. Step 5: Solve for x
    x = 769,729,536/13,584
  6. Step 6: Final answer
    x = 56,664.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.