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Finding the Third Proportional to 33,734 and 50,595

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Solution

The third proportional to 33,734 and 50,595 is: 75,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,734 : 50,595 = 50,595 : x
  2. Step 2: Convert to fraction form
    33,734/50,595 = 50,595/x
  3. Step 3: Cross multiply
    33,734x = 50,595 × 50,595
  4. Step 4: Simplify right side
    33,734x = 2,559,854,025
  5. Step 5: Solve for x
    x = 2,559,854,025/33,734
  6. Step 6: Final answer
    x = 75,883.50

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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.