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Finding the Third Proportional to 11.64 and 27.69

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Solution

The third proportional to 11.64 and 27.69 is: 65.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.64 : 27.69 = 27.69 : x
  2. Step 2: Convert to fraction form
    11.64/27.69 = 27.69/x
  3. Step 3: Cross multiply
    11.64x = 27.69 × 27.69
  4. Step 4: Simplify right side
    11.64x = 766.68
  5. Step 5: Solve for x
    x = 766.68/11.64
  6. Step 6: Final answer
    x = 65.88

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.