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Finding the Third Proportional to 6,206 and 11,782

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Solution

The third proportional to 6,206 and 11,782 is: 22,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206 : 11,782 = 11,782 : x
  2. Step 2: Convert to fraction form
    6,206/11,782 = 11,782/x
  3. Step 3: Cross multiply
    6,206x = 11,782 × 11,782
  4. Step 4: Simplify right side
    6,206x = 138,815,524
  5. Step 5: Solve for x
    x = 138,815,524/6,206
  6. Step 6: Final answer
    x = 22,367.95

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.