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Finding the Third Proportional to 8,682 and 10,050

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Solution

The third proportional to 8,682 and 10,050 is: 11,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682 : 10,050 = 10,050 : x
  2. Step 2: Convert to fraction form
    8,682/10,050 = 10,050/x
  3. Step 3: Cross multiply
    8,682x = 10,050 × 10,050
  4. Step 4: Simplify right side
    8,682x = 101,002,500
  5. Step 5: Solve for x
    x = 101,002,500/8,682
  6. Step 6: Final answer
    x = 11,633.55

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.