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Finding the Third Proportional to 12.25 and 25.75

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Solution

The third proportional to 12.25 and 25.75 is: 54.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.25 : 25.75 = 25.75 : x
  2. Step 2: Convert to fraction form
    12.25/25.75 = 25.75/x
  3. Step 3: Cross multiply
    12.25x = 25.75 × 25.75
  4. Step 4: Simplify right side
    12.25x = 663.06
  5. Step 5: Solve for x
    x = 663.06/12.25
  6. Step 6: Final answer
    x = 54.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.