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Finding the Third Proportional to 33,280 and 49,801

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Solution

The third proportional to 33,280 and 49,801 is: 74,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,280 : 49,801 = 49,801 : x
  2. Step 2: Convert to fraction form
    33,280/49,801 = 49,801/x
  3. Step 3: Cross multiply
    33,280x = 49,801 × 49,801
  4. Step 4: Simplify right side
    33,280x = 2,480,139,601
  5. Step 5: Solve for x
    x = 2,480,139,601/33,280
  6. Step 6: Final answer
    x = 74,523.43

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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.