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Finding the Third Proportional to 33,208 and 49,940

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Solution

The third proportional to 33,208 and 49,940 is: 75,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208 : 49,940 = 49,940 : x
  2. Step 2: Convert to fraction form
    33,208/49,940 = 49,940/x
  3. Step 3: Cross multiply
    33,208x = 49,940 × 49,940
  4. Step 4: Simplify right side
    33,208x = 2,494,003,600
  5. Step 5: Solve for x
    x = 2,494,003,600/33,208
  6. Step 6: Final answer
    x = 75,102.49

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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.