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Finding the Third Proportional to 3,922 and 8,462

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Solution

The third proportional to 3,922 and 8,462 is: 18,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922 : 8,462 = 8,462 : x
  2. Step 2: Convert to fraction form
    3,922/8,462 = 8,462/x
  3. Step 3: Cross multiply
    3,922x = 8,462 × 8,462
  4. Step 4: Simplify right side
    3,922x = 71,605,444
  5. Step 5: Solve for x
    x = 71,605,444/3,922
  6. Step 6: Final answer
    x = 18,257.38

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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.