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Finding the Third Proportional to 5.94 and 13.66

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Solution

The third proportional to 5.94 and 13.66 is: 31.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.94 : 13.66 = 13.66 : x
  2. Step 2: Convert to fraction form
    5.94/13.66 = 13.66/x
  3. Step 3: Cross multiply
    5.94x = 13.66 × 13.66
  4. Step 4: Simplify right side
    5.94x = 186.54
  5. Step 5: Solve for x
    x = 186.54/5.94
  6. Step 6: Final answer
    x = 31.41

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.