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Finding the Third Proportional to 11.91 and 25.14

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Solution

The third proportional to 11.91 and 25.14 is: 53.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.91 : 25.14 = 25.14 : x
  2. Step 2: Convert to fraction form
    11.91/25.14 = 25.14/x
  3. Step 3: Cross multiply
    11.91x = 25.14 × 25.14
  4. Step 4: Simplify right side
    11.91x = 631.85
  5. Step 5: Solve for x
    x = 631.85/11.91
  6. Step 6: Final answer
    x = 53.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.