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Finding the Third Proportional to 8.46 and 11.41

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Solution

The third proportional to 8.46 and 11.41 is: 15.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.46 : 11.41 = 11.41 : x
  2. Step 2: Convert to fraction form
    8.46/11.41 = 11.41/x
  3. Step 3: Cross multiply
    8.46x = 11.41 × 11.41
  4. Step 4: Simplify right side
    8.46x = 130.29
  5. Step 5: Solve for x
    x = 130.29/8.46
  6. Step 6: Final answer
    x = 15.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.