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Finding the Third Proportional to 13,632 and 21,744

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Solution

The third proportional to 13,632 and 21,744 is: 34,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632 : 21,744 = 21,744 : x
  2. Step 2: Convert to fraction form
    13,632/21,744 = 21,744/x
  3. Step 3: Cross multiply
    13,632x = 21,744 × 21,744
  4. Step 4: Simplify right side
    13,632x = 472,801,536
  5. Step 5: Solve for x
    x = 472,801,536/13,632
  6. Step 6: Final answer
    x = 34,683.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.