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Finding the Third Proportional to 13.69 and 20.02

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Solution

The third proportional to 13.69 and 20.02 is: 29.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.69 : 20.02 = 20.02 : x
  2. Step 2: Convert to fraction form
    13.69/20.02 = 20.02/x
  3. Step 3: Cross multiply
    13.69x = 20.02 × 20.02
  4. Step 4: Simplify right side
    13.69x = 400.63
  5. Step 5: Solve for x
    x = 400.63/13.69
  6. Step 6: Final answer
    x = 29.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.