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Finding the Third Proportional to 8,684 and 13,872

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Solution

The third proportional to 8,684 and 13,872 is: 22,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684 : 13,872 = 13,872 : x
  2. Step 2: Convert to fraction form
    8,684/13,872 = 13,872/x
  3. Step 3: Cross multiply
    8,684x = 13,872 × 13,872
  4. Step 4: Simplify right side
    8,684x = 192,432,384
  5. Step 5: Solve for x
    x = 192,432,384/8,684
  6. Step 6: Final answer
    x = 22,159.42

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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.