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Finding the Third Proportional to 33,099 and 62,847

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Solution

The third proportional to 33,099 and 62,847 is: 119,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099 : 62,847 = 62,847 : x
  2. Step 2: Convert to fraction form
    33,099/62,847 = 62,847/x
  3. Step 3: Cross multiply
    33,099x = 62,847 × 62,847
  4. Step 4: Simplify right side
    33,099x = 3,949,745,409
  5. Step 5: Solve for x
    x = 3,949,745,409/33,099
  6. Step 6: Final answer
    x = 119,331.26

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.