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Finding the Third Proportional to 24,612 and 57,782

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Solution

The third proportional to 24,612 and 57,782 is: 135,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,612 : 57,782 = 57,782 : x
  2. Step 2: Convert to fraction form
    24,612/57,782 = 57,782/x
  3. Step 3: Cross multiply
    24,612x = 57,782 × 57,782
  4. Step 4: Simplify right side
    24,612x = 3,338,759,524
  5. Step 5: Solve for x
    x = 3,338,759,524/24,612
  6. Step 6: Final answer
    x = 135,655.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.