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Finding the Third Proportional to 3,982 and 8,612

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Solution

The third proportional to 3,982 and 8,612 is: 18,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982 : 8,612 = 8,612 : x
  2. Step 2: Convert to fraction form
    3,982/8,612 = 8,612/x
  3. Step 3: Cross multiply
    3,982x = 8,612 × 8,612
  4. Step 4: Simplify right side
    3,982x = 74,166,544
  5. Step 5: Solve for x
    x = 74,166,544/3,982
  6. Step 6: Final answer
    x = 18,625.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.