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Finding the Third Proportional to 33,974 and 51,474

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Solution

The third proportional to 33,974 and 51,474 is: 77,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,974 : 51,474 = 51,474 : x
  2. Step 2: Convert to fraction form
    33,974/51,474 = 51,474/x
  3. Step 3: Cross multiply
    33,974x = 51,474 × 51,474
  4. Step 4: Simplify right side
    33,974x = 2,649,572,676
  5. Step 5: Solve for x
    x = 2,649,572,676/33,974
  6. Step 6: Final answer
    x = 77,988.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.