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Finding the Third Proportional to 13.69 and 33.14

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Solution

The third proportional to 13.69 and 33.14 is: 80.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.69 : 33.14 = 33.14 : x
  2. Step 2: Convert to fraction form
    13.69/33.14 = 33.14/x
  3. Step 3: Cross multiply
    13.69x = 33.14 × 33.14
  4. Step 4: Simplify right side
    13.69x = 1,098.30
  5. Step 5: Solve for x
    x = 1,098.30/13.69
  6. Step 6: Final answer
    x = 80.24

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.