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Finding the Third Proportional to 11.64 and 27.14

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Solution

The third proportional to 11.64 and 27.14 is: 63.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.64 : 27.14 = 27.14 : x
  2. Step 2: Convert to fraction form
    11.64/27.14 = 27.14/x
  3. Step 3: Cross multiply
    11.64x = 27.14 × 27.14
  4. Step 4: Simplify right side
    11.64x = 736.61
  5. Step 5: Solve for x
    x = 736.61/11.64
  6. Step 6: Final answer
    x = 63.30

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.