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Finding the Third Proportional to 3.22 and 3.42

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Solution

The third proportional to 3.22 and 3.42 is: 3.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.22 : 3.42 = 3.42 : x
  2. Step 2: Convert to fraction form
    3.22/3.42 = 3.42/x
  3. Step 3: Cross multiply
    3.22x = 3.42 × 3.42
  4. Step 4: Simplify right side
    3.22x = 11.71
  5. Step 5: Solve for x
    x = 11.71/3.22
  6. Step 6: Final answer
    x = 3.64

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.