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Finding the Third Proportional to 8.54 and 12.81

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Solution

The third proportional to 8.54 and 12.81 is: 19.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.54 : 12.81 = 12.81 : x
  2. Step 2: Convert to fraction form
    8.54/12.81 = 12.81/x
  3. Step 3: Cross multiply
    8.54x = 12.81 × 12.81
  4. Step 4: Simplify right side
    8.54x = 164.21
  5. Step 5: Solve for x
    x = 164.21/8.54
  6. Step 6: Final answer
    x = 19.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.