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Finding the Third Proportional to 11,785 and 24,782

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Solution

The third proportional to 11,785 and 24,782 is: 52,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785 : 24,782 = 24,782 : x
  2. Step 2: Convert to fraction form
    11,785/24,782 = 24,782/x
  3. Step 3: Cross multiply
    11,785x = 24,782 × 24,782
  4. Step 4: Simplify right side
    11,785x = 614,147,524
  5. Step 5: Solve for x
    x = 614,147,524/11,785
  6. Step 6: Final answer
    x = 52,112.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.