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Finding the Third Proportional to 33,181 and 49,649

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Solution

The third proportional to 33,181 and 49,649 is: 74,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,181 : 49,649 = 49,649 : x
  2. Step 2: Convert to fraction form
    33,181/49,649 = 49,649/x
  3. Step 3: Cross multiply
    33,181x = 49,649 × 49,649
  4. Step 4: Simplify right side
    33,181x = 2,465,023,201
  5. Step 5: Solve for x
    x = 2,465,023,201/33,181
  6. Step 6: Final answer
    x = 74,290.20

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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.