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Finding the Third Proportional to 3.42 and 6.34

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Solution

The third proportional to 3.42 and 6.34 is: 11.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.42 : 6.34 = 6.34 : x
  2. Step 2: Convert to fraction form
    3.42/6.34 = 6.34/x
  3. Step 3: Cross multiply
    3.42x = 6.34 × 6.34
  4. Step 4: Simplify right side
    3.42x = 40.21
  5. Step 5: Solve for x
    x = 40.21/3.42
  6. Step 6: Final answer
    x = 11.77

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.