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Finding the Third Proportional to 8,324 and 17,872

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Solution

The third proportional to 8,324 and 17,872 is: 38,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324 : 17,872 = 17,872 : x
  2. Step 2: Convert to fraction form
    8,324/17,872 = 17,872/x
  3. Step 3: Cross multiply
    8,324x = 17,872 × 17,872
  4. Step 4: Simplify right side
    8,324x = 319,408,384
  5. Step 5: Solve for x
    x = 319,408,384/8,324
  6. Step 6: Final answer
    x = 38,371.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.