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Finding the Third Proportional to 8.08 and 13.46

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Solution

The third proportional to 8.08 and 13.46 is: 22.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.08 : 13.46 = 13.46 : x
  2. Step 2: Convert to fraction form
    8.08/13.46 = 13.46/x
  3. Step 3: Cross multiply
    8.08x = 13.46 × 13.46
  4. Step 4: Simplify right side
    8.08x = 181.25
  5. Step 5: Solve for x
    x = 181.25/8.08
  6. Step 6: Final answer
    x = 22.42

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.