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Finding the Third Proportional to 10 and 15.25

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Solution

The third proportional to 10 and 15.25 is: 23.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10 : 15.25 = 15.25 : x
  2. Step 2: Convert to fraction form
    10/15.25 = 15.25/x
  3. Step 3: Cross multiply
    10x = 15.25 × 15.25
  4. Step 4: Simplify right side
    10x = 232.56
  5. Step 5: Solve for x
    x = 232.56/10
  6. Step 6: Final answer
    x = 23.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.