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Finding the Third Proportional to 33,791 and 50,687

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Solution

The third proportional to 33,791 and 50,687 is: 76,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,791 : 50,687 = 50,687 : x
  2. Step 2: Convert to fraction form
    33,791/50,687 = 50,687/x
  3. Step 3: Cross multiply
    33,791x = 50,687 × 50,687
  4. Step 4: Simplify right side
    33,791x = 2,569,171,969
  5. Step 5: Solve for x
    x = 2,569,171,969/33,791
  6. Step 6: Final answer
    x = 76,031.25

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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.