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Finding the Third Proportional to 12.25 and 19.26

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Solution

The third proportional to 12.25 and 19.26 is: 30.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.25 : 19.26 = 19.26 : x
  2. Step 2: Convert to fraction form
    12.25/19.26 = 19.26/x
  3. Step 3: Cross multiply
    12.25x = 19.26 × 19.26
  4. Step 4: Simplify right side
    12.25x = 371.02
  5. Step 5: Solve for x
    x = 371.02/12.25
  6. Step 6: Final answer
    x = 30.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.