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Finding the Third Proportional to 33,921 and 49,866

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Solution

The third proportional to 33,921 and 49,866 is: 73,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,921 : 49,866 = 49,866 : x
  2. Step 2: Convert to fraction form
    33,921/49,866 = 49,866/x
  3. Step 3: Cross multiply
    33,921x = 49,866 × 49,866
  4. Step 4: Simplify right side
    33,921x = 2,486,617,956
  5. Step 5: Solve for x
    x = 2,486,617,956/33,921
  6. Step 6: Final answer
    x = 73,306.15

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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.