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Finding the Third Proportional to 33.01 and 49.89

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Solution

The third proportional to 33.01 and 49.89 is: 75.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.01 : 49.89 = 49.89 : x
  2. Step 2: Convert to fraction form
    33.01/49.89 = 49.89/x
  3. Step 3: Cross multiply
    33.01x = 49.89 × 49.89
  4. Step 4: Simplify right side
    33.01x = 2,488.68
  5. Step 5: Solve for x
    x = 2,488.68/33.01
  6. Step 6: Final answer
    x = 75.39

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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.