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Finding the Third Proportional to 3.41 and 7.34

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Solution

The third proportional to 3.41 and 7.34 is: 15.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.41 : 7.34 = 7.34 : x
  2. Step 2: Convert to fraction form
    3.41/7.34 = 7.34/x
  3. Step 3: Cross multiply
    3.41x = 7.34 × 7.34
  4. Step 4: Simplify right side
    3.41x = 53.93
  5. Step 5: Solve for x
    x = 53.93/3.41
  6. Step 6: Final answer
    x = 15.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.