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Finding the Third Proportional to 6.71 and 12.16

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Solution

The third proportional to 6.71 and 12.16 is: 22.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.71 : 12.16 = 12.16 : x
  2. Step 2: Convert to fraction form
    6.71/12.16 = 12.16/x
  3. Step 3: Cross multiply
    6.71x = 12.16 × 12.16
  4. Step 4: Simplify right side
    6.71x = 147.79
  5. Step 5: Solve for x
    x = 147.79/6.71
  6. Step 6: Final answer
    x = 22.01

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.