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Finding the Third Proportional to 3.16 and 4.09

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Solution

The third proportional to 3.16 and 4.09 is: 5.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.16 : 4.09 = 4.09 : x
  2. Step 2: Convert to fraction form
    3.16/4.09 = 4.09/x
  3. Step 3: Cross multiply
    3.16x = 4.09 × 4.09
  4. Step 4: Simplify right side
    3.16x = 16.76
  5. Step 5: Solve for x
    x = 16.76/3.16
  6. Step 6: Final answer
    x = 5.31

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.