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Finding the Third Proportional to 33,220 and 49,738

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Solution

The third proportional to 33,220 and 49,738 is: 74,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,220 : 49,738 = 49,738 : x
  2. Step 2: Convert to fraction form
    33,220/49,738 = 49,738/x
  3. Step 3: Cross multiply
    33,220x = 49,738 × 49,738
  4. Step 4: Simplify right side
    33,220x = 2,473,868,644
  5. Step 5: Solve for x
    x = 2,473,868,644/33,220
  6. Step 6: Final answer
    x = 74,469.25

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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.