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Finding the Third Proportional to 3,744 and 8,672

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Solution

The third proportional to 3,744 and 8,672 is: 20,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744 : 8,672 = 8,672 : x
  2. Step 2: Convert to fraction form
    3,744/8,672 = 8,672/x
  3. Step 3: Cross multiply
    3,744x = 8,672 × 8,672
  4. Step 4: Simplify right side
    3,744x = 75,203,584
  5. Step 5: Solve for x
    x = 75,203,584/3,744
  6. Step 6: Final answer
    x = 20,086.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.