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Finding the Third Proportional to 33,064 and 49,884

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Solution

The third proportional to 33,064 and 49,884 is: 75,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,064 : 49,884 = 49,884 : x
  2. Step 2: Convert to fraction form
    33,064/49,884 = 49,884/x
  3. Step 3: Cross multiply
    33,064x = 49,884 × 49,884
  4. Step 4: Simplify right side
    33,064x = 2,488,413,456
  5. Step 5: Solve for x
    x = 2,488,413,456/33,064
  6. Step 6: Final answer
    x = 75,260.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.