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Finding the Third Proportional to 11.75 and 25.66

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Solution

The third proportional to 11.75 and 25.66 is: 56.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.75 : 25.66 = 25.66 : x
  2. Step 2: Convert to fraction form
    11.75/25.66 = 25.66/x
  3. Step 3: Cross multiply
    11.75x = 25.66 × 25.66
  4. Step 4: Simplify right side
    11.75x = 658.24
  5. Step 5: Solve for x
    x = 658.24/11.75
  6. Step 6: Final answer
    x = 56.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.