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Finding the Third Proportional to 12.36 and 26.92

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Solution

The third proportional to 12.36 and 26.92 is: 58.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.36 : 26.92 = 26.92 : x
  2. Step 2: Convert to fraction form
    12.36/26.92 = 26.92/x
  3. Step 3: Cross multiply
    12.36x = 26.92 × 26.92
  4. Step 4: Simplify right side
    12.36x = 724.56
  5. Step 5: Solve for x
    x = 724.56/12.36
  6. Step 6: Final answer
    x = 58.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.