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Finding the Third Proportional to 33,930 and 51,266

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Solution

The third proportional to 33,930 and 51,266 is: 77,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,930 : 51,266 = 51,266 : x
  2. Step 2: Convert to fraction form
    33,930/51,266 = 51,266/x
  3. Step 3: Cross multiply
    33,930x = 51,266 × 51,266
  4. Step 4: Simplify right side
    33,930x = 2,628,202,756
  5. Step 5: Solve for x
    x = 2,628,202,756/33,930
  6. Step 6: Final answer
    x = 77,459.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.