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Finding the Third Proportional to 29,934 and 64,782

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Solution

The third proportional to 29,934 and 64,782 is: 140,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,934 : 64,782 = 64,782 : x
  2. Step 2: Convert to fraction form
    29,934/64,782 = 64,782/x
  3. Step 3: Cross multiply
    29,934x = 64,782 × 64,782
  4. Step 4: Simplify right side
    29,934x = 4,196,707,524
  5. Step 5: Solve for x
    x = 4,196,707,524/29,934
  6. Step 6: Final answer
    x = 140,198.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.