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Finding the Third Proportional to 5.66 and 11.94

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Solution

The third proportional to 5.66 and 11.94 is: 25.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.66 : 11.94 = 11.94 : x
  2. Step 2: Convert to fraction form
    5.66/11.94 = 11.94/x
  3. Step 3: Cross multiply
    5.66x = 11.94 × 11.94
  4. Step 4: Simplify right side
    5.66x = 142.50
  5. Step 5: Solve for x
    x = 142.50/5.66
  6. Step 6: Final answer
    x = 25.19

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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.