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Finding the Third Proportional to 3,868 and 8,962

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Solution

The third proportional to 3,868 and 8,962 is: 20,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868 : 8,962 = 8,962 : x
  2. Step 2: Convert to fraction form
    3,868/8,962 = 8,962/x
  3. Step 3: Cross multiply
    3,868x = 8,962 × 8,962
  4. Step 4: Simplify right side
    3,868x = 80,317,444
  5. Step 5: Solve for x
    x = 80,317,444/3,868
  6. Step 6: Final answer
    x = 20,764.59

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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.