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Finding the Third Proportional to 33,466 and 49,081

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Solution

The third proportional to 33,466 and 49,081 is: 71,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,466 : 49,081 = 49,081 : x
  2. Step 2: Convert to fraction form
    33,466/49,081 = 49,081/x
  3. Step 3: Cross multiply
    33,466x = 49,081 × 49,081
  4. Step 4: Simplify right side
    33,466x = 2,408,944,561
  5. Step 5: Solve for x
    x = 2,408,944,561/33,466
  6. Step 6: Final answer
    x = 71,981.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.