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Finding the Third Proportional to 13.69 and 19.31

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Solution

The third proportional to 13.69 and 19.31 is: 27.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.69 : 19.31 = 19.31 : x
  2. Step 2: Convert to fraction form
    13.69/19.31 = 19.31/x
  3. Step 3: Cross multiply
    13.69x = 19.31 × 19.31
  4. Step 4: Simplify right side
    13.69x = 372.97
  5. Step 5: Solve for x
    x = 372.97/13.69
  6. Step 6: Final answer
    x = 27.25

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.