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Finding the Third Proportional to 33,739 and 48,593

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Solution

The third proportional to 33,739 and 48,593 is: 69,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,739 : 48,593 = 48,593 : x
  2. Step 2: Convert to fraction form
    33,739/48,593 = 48,593/x
  3. Step 3: Cross multiply
    33,739x = 48,593 × 48,593
  4. Step 4: Simplify right side
    33,739x = 2,361,279,649
  5. Step 5: Solve for x
    x = 2,361,279,649/33,739
  6. Step 6: Final answer
    x = 69,986.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.