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Finding the Third Proportional to 33,847 and 52,621

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Solution

The third proportional to 33,847 and 52,621 is: 81,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,847 : 52,621 = 52,621 : x
  2. Step 2: Convert to fraction form
    33,847/52,621 = 52,621/x
  3. Step 3: Cross multiply
    33,847x = 52,621 × 52,621
  4. Step 4: Simplify right side
    33,847x = 2,768,969,641
  5. Step 5: Solve for x
    x = 2,768,969,641/33,847
  6. Step 6: Final answer
    x = 81,808.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.