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Finding the Third Proportional to 13.71 and 20.14

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Solution

The third proportional to 13.71 and 20.14 is: 29.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.71 : 20.14 = 20.14 : x
  2. Step 2: Convert to fraction form
    13.71/20.14 = 20.14/x
  3. Step 3: Cross multiply
    13.71x = 20.14 × 20.14
  4. Step 4: Simplify right side
    13.71x = 405.80
  5. Step 5: Solve for x
    x = 405.80/13.71
  6. Step 6: Final answer
    x = 29.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.