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Finding the Third Proportional to 12.78 and 27.06

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Solution

The third proportional to 12.78 and 27.06 is: 57.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.78 : 27.06 = 27.06 : x
  2. Step 2: Convert to fraction form
    12.78/27.06 = 27.06/x
  3. Step 3: Cross multiply
    12.78x = 27.06 × 27.06
  4. Step 4: Simplify right side
    12.78x = 732.38
  5. Step 5: Solve for x
    x = 732.38/12.78
  6. Step 6: Final answer
    x = 57.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.