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Finding the Third Proportional to 13.25 and 19.25

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Solution

The third proportional to 13.25 and 19.25 is: 27.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.25 : 19.25 = 19.25 : x
  2. Step 2: Convert to fraction form
    13.25/19.25 = 19.25/x
  3. Step 3: Cross multiply
    13.25x = 19.25 × 19.25
  4. Step 4: Simplify right side
    13.25x = 370.56
  5. Step 5: Solve for x
    x = 370.56/13.25
  6. Step 6: Final answer
    x = 27.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.