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Finding the Third Proportional to 27,850 and 60,782

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Solution

The third proportional to 27,850 and 60,782 is: 132,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,850 : 60,782 = 60,782 : x
  2. Step 2: Convert to fraction form
    27,850/60,782 = 60,782/x
  3. Step 3: Cross multiply
    27,850x = 60,782 × 60,782
  4. Step 4: Simplify right side
    27,850x = 3,694,451,524
  5. Step 5: Solve for x
    x = 3,694,451,524/27,850
  6. Step 6: Final answer
    x = 132,655.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.