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Finding the Third Proportional to 12.10 and 25.75

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Solution

The third proportional to 12.10 and 25.75 is: 54.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.10 : 25.75 = 25.75 : x
  2. Step 2: Convert to fraction form
    12.10/25.75 = 25.75/x
  3. Step 3: Cross multiply
    12.10x = 25.75 × 25.75
  4. Step 4: Simplify right side
    12.10x = 662.94
  5. Step 5: Solve for x
    x = 662.94/12.10
  6. Step 6: Final answer
    x = 54.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.