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Finding the Third Proportional to 33.22 and 68.34

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Solution

The third proportional to 33.22 and 68.34 is: 140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.22 : 68.34 = 68.34 : x
  2. Step 2: Convert to fraction form
    33.22/68.34 = 68.34/x
  3. Step 3: Cross multiply
    33.22x = 68.34 × 68.34
  4. Step 4: Simplify right side
    33.22x = 4,670.87
  5. Step 5: Solve for x
    x = 4,670.87/33.22
  6. Step 6: Final answer
    x = 140.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.