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Finding the Third Proportional to 3.16 and 8.22

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Solution

The third proportional to 3.16 and 8.22 is: 21.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.16 : 8.22 = 8.22 : x
  2. Step 2: Convert to fraction form
    3.16/8.22 = 8.22/x
  3. Step 3: Cross multiply
    3.16x = 8.22 × 8.22
  4. Step 4: Simplify right side
    3.16x = 67.51
  5. Step 5: Solve for x
    x = 67.51/3.16
  6. Step 6: Final answer
    x = 21.34

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.