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Finding the Third Proportional to 26 and 57.25

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Solution

The third proportional to 26 and 57.25 is: 126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26 : 57.25 = 57.25 : x
  2. Step 2: Convert to fraction form
    26/57.25 = 57.25/x
  3. Step 3: Cross multiply
    26x = 57.25 × 57.25
  4. Step 4: Simplify right side
    26x = 3,277.56
  5. Step 5: Solve for x
    x = 3,277.56/26
  6. Step 6: Final answer
    x = 126.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.