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Finding the Third Proportional to 12.81 and 14.47

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Solution

The third proportional to 12.81 and 14.47 is: 16.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.81 : 14.47 = 14.47 : x
  2. Step 2: Convert to fraction form
    12.81/14.47 = 14.47/x
  3. Step 3: Cross multiply
    12.81x = 14.47 × 14.47
  4. Step 4: Simplify right side
    12.81x = 209.29
  5. Step 5: Solve for x
    x = 209.29/12.81
  6. Step 6: Final answer
    x = 16.34

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.