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Finding the Third Proportional to 12.89 and 27.21

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Solution

The third proportional to 12.89 and 27.21 is: 57.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.89 : 27.21 = 27.21 : x
  2. Step 2: Convert to fraction form
    12.89/27.21 = 27.21/x
  3. Step 3: Cross multiply
    12.89x = 27.21 × 27.21
  4. Step 4: Simplify right side
    12.89x = 740.44
  5. Step 5: Solve for x
    x = 740.44/12.89
  6. Step 6: Final answer
    x = 57.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.