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Finding the Third Proportional to 33.91 and 73.84

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Solution

The third proportional to 33.91 and 73.84 is: 160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.91 : 73.84 = 73.84 : x
  2. Step 2: Convert to fraction form
    33.91/73.84 = 73.84/x
  3. Step 3: Cross multiply
    33.91x = 73.84 × 73.84
  4. Step 4: Simplify right side
    33.91x = 5,452.54
  5. Step 5: Solve for x
    x = 5,452.54/33.91
  6. Step 6: Final answer
    x = 160.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.