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Finding the Third Proportional to 6.26 and 8.97

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Solution

The third proportional to 6.26 and 8.97 is: 12.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.26 : 8.97 = 8.97 : x
  2. Step 2: Convert to fraction form
    6.26/8.97 = 8.97/x
  3. Step 3: Cross multiply
    6.26x = 8.97 × 8.97
  4. Step 4: Simplify right side
    6.26x = 80.41
  5. Step 5: Solve for x
    x = 80.41/6.26
  6. Step 6: Final answer
    x = 12.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.