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Finding the Third Proportional to 33,865 and 50,797

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Solution

The third proportional to 33,865 and 50,797 is: 76,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,865 : 50,797 = 50,797 : x
  2. Step 2: Convert to fraction form
    33,865/50,797 = 50,797/x
  3. Step 3: Cross multiply
    33,865x = 50,797 × 50,797
  4. Step 4: Simplify right side
    33,865x = 2,580,335,209
  5. Step 5: Solve for x
    x = 2,580,335,209/33,865
  6. Step 6: Final answer
    x = 76,194.75

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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.