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Finding the Third Proportional to 33,854 and 50,631

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Solution

The third proportional to 33,854 and 50,631 is: 75,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,854 : 50,631 = 50,631 : x
  2. Step 2: Convert to fraction form
    33,854/50,631 = 50,631/x
  3. Step 3: Cross multiply
    33,854x = 50,631 × 50,631
  4. Step 4: Simplify right side
    33,854x = 2,563,498,161
  5. Step 5: Solve for x
    x = 2,563,498,161/33,854
  6. Step 6: Final answer
    x = 75,722.16

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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.