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Finding the Third Proportional to 33,885 and 50,337

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Solution

The third proportional to 33,885 and 50,337 is: 74,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,885 : 50,337 = 50,337 : x
  2. Step 2: Convert to fraction form
    33,885/50,337 = 50,337/x
  3. Step 3: Cross multiply
    33,885x = 50,337 × 50,337
  4. Step 4: Simplify right side
    33,885x = 2,533,813,569
  5. Step 5: Solve for x
    x = 2,533,813,569/33,885
  6. Step 6: Final answer
    x = 74,776.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.