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Finding the Third Proportional to 12,203 and 26,782

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Solution

The third proportional to 12,203 and 26,782 is: 58,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203 : 26,782 = 26,782 : x
  2. Step 2: Convert to fraction form
    12,203/26,782 = 26,782/x
  3. Step 3: Cross multiply
    12,203x = 26,782 × 26,782
  4. Step 4: Simplify right side
    12,203x = 717,275,524
  5. Step 5: Solve for x
    x = 717,275,524/12,203
  6. Step 6: Final answer
    x = 58,778.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.