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Finding the Third Proportional to 33,209 and 49,850

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Solution

The third proportional to 33,209 and 49,850 is: 74,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,209 : 49,850 = 49,850 : x
  2. Step 2: Convert to fraction form
    33,209/49,850 = 49,850/x
  3. Step 3: Cross multiply
    33,209x = 49,850 × 49,850
  4. Step 4: Simplify right side
    33,209x = 2,485,022,500
  5. Step 5: Solve for x
    x = 2,485,022,500/33,209
  6. Step 6: Final answer
    x = 74,829.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.