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Finding the Third Proportional to 33,974 and 49,962

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Solution

The third proportional to 33,974 and 49,962 is: 73,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,974 : 49,962 = 49,962 : x
  2. Step 2: Convert to fraction form
    33,974/49,962 = 49,962/x
  3. Step 3: Cross multiply
    33,974x = 49,962 × 49,962
  4. Step 4: Simplify right side
    33,974x = 2,496,201,444
  5. Step 5: Solve for x
    x = 2,496,201,444/33,974
  6. Step 6: Final answer
    x = 73,473.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.