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Finding the Third Proportional to 12.81 and 27.23

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Solution

The third proportional to 12.81 and 27.23 is: 57.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.81 : 27.23 = 27.23 : x
  2. Step 2: Convert to fraction form
    12.81/27.23 = 27.23/x
  3. Step 3: Cross multiply
    12.81x = 27.23 × 27.23
  4. Step 4: Simplify right side
    12.81x = 741.51
  5. Step 5: Solve for x
    x = 741.51/12.81
  6. Step 6: Final answer
    x = 57.87

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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.