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Finding the Third Proportional to 12.84 and 27.09

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Solution

The third proportional to 12.84 and 27.09 is: 57.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.84 : 27.09 = 27.09 : x
  2. Step 2: Convert to fraction form
    12.84/27.09 = 27.09/x
  3. Step 3: Cross multiply
    12.84x = 27.09 × 27.09
  4. Step 4: Simplify right side
    12.84x = 734.07
  5. Step 5: Solve for x
    x = 734.07/12.84
  6. Step 6: Final answer
    x = 57.15

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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.