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Finding the Third Proportional to 33,674 and 50,511

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Solution

The third proportional to 33,674 and 50,511 is: 75,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,674 : 50,511 = 50,511 : x
  2. Step 2: Convert to fraction form
    33,674/50,511 = 50,511/x
  3. Step 3: Cross multiply
    33,674x = 50,511 × 50,511
  4. Step 4: Simplify right side
    33,674x = 2,551,361,121
  5. Step 5: Solve for x
    x = 2,551,361,121/33,674
  6. Step 6: Final answer
    x = 75,766.50

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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.