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Finding the Third Proportional to 11.73 and 25.27

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Solution

The third proportional to 11.73 and 25.27 is: 54.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.73 : 25.27 = 25.27 : x
  2. Step 2: Convert to fraction form
    11.73/25.27 = 25.27/x
  3. Step 3: Cross multiply
    11.73x = 25.27 × 25.27
  4. Step 4: Simplify right side
    11.73x = 638.65
  5. Step 5: Solve for x
    x = 638.65/11.73
  6. Step 6: Final answer
    x = 54.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.