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Finding the Third Proportional to 33.98 and 80.85

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Solution

The third proportional to 33.98 and 80.85 is: 192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.98 : 80.85 = 80.85 : x
  2. Step 2: Convert to fraction form
    33.98/80.85 = 80.85/x
  3. Step 3: Cross multiply
    33.98x = 80.85 × 80.85
  4. Step 4: Simplify right side
    33.98x = 6,536.03
  5. Step 5: Solve for x
    x = 6,536.03/33.98
  6. Step 6: Final answer
    x = 192.36

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.