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Finding the Third Proportional to 11.95 and 25.11

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Solution

The third proportional to 11.95 and 25.11 is: 52.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.95 : 25.11 = 25.11 : x
  2. Step 2: Convert to fraction form
    11.95/25.11 = 25.11/x
  3. Step 3: Cross multiply
    11.95x = 25.11 × 25.11
  4. Step 4: Simplify right side
    11.95x = 630.71
  5. Step 5: Solve for x
    x = 630.71/11.95
  6. Step 6: Final answer
    x = 52.79

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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.