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Finding the Third Proportional to 11.41 and 25.05

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Solution

The third proportional to 11.41 and 25.05 is: 54.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.41 : 25.05 = 25.05 : x
  2. Step 2: Convert to fraction form
    11.41/25.05 = 25.05/x
  3. Step 3: Cross multiply
    11.41x = 25.05 × 25.05
  4. Step 4: Simplify right side
    11.41x = 627.42
  5. Step 5: Solve for x
    x = 627.42/11.41
  6. Step 6: Final answer
    x = 54.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.