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Finding the Third Proportional to 3.16 and 7.42

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Solution

The third proportional to 3.16 and 7.42 is: 17.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.16 : 7.42 = 7.42 : x
  2. Step 2: Convert to fraction form
    3.16/7.42 = 7.42/x
  3. Step 3: Cross multiply
    3.16x = 7.42 × 7.42
  4. Step 4: Simplify right side
    3.16x = 55.08
  5. Step 5: Solve for x
    x = 55.08/3.16
  6. Step 6: Final answer
    x = 17.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.