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Finding the Third Proportional to 37,933 and 76,941

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Solution

The third proportional to 37,933 and 76,941 is: 156,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,933 : 76,941 = 76,941 : x
  2. Step 2: Convert to fraction form
    37,933/76,941 = 76,941/x
  3. Step 3: Cross multiply
    37,933x = 76,941 × 76,941
  4. Step 4: Simplify right side
    37,933x = 5,919,917,481
  5. Step 5: Solve for x
    x = 5,919,917,481/37,933
  6. Step 6: Final answer
    x = 156,062.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.