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Finding the Third Proportional to 14.20 and 33.96

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Solution

The third proportional to 14.20 and 33.96 is: 81.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.20 : 33.96 = 33.96 : x
  2. Step 2: Convert to fraction form
    14.20/33.96 = 33.96/x
  3. Step 3: Cross multiply
    14.20x = 33.96 × 33.96
  4. Step 4: Simplify right side
    14.20x = 1,153.35
  5. Step 5: Solve for x
    x = 1,153.35/14.20
  6. Step 6: Final answer
    x = 81.20

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.