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Finding the Third Proportional to 33,462 and 50,081

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Solution

The third proportional to 33,462 and 50,081 is: 74,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,462 : 50,081 = 50,081 : x
  2. Step 2: Convert to fraction form
    33,462/50,081 = 50,081/x
  3. Step 3: Cross multiply
    33,462x = 50,081 × 50,081
  4. Step 4: Simplify right side
    33,462x = 2,508,106,561
  5. Step 5: Solve for x
    x = 2,508,106,561/33,462
  6. Step 6: Final answer
    x = 74,953.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.