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Finding the Third Proportional to 12.84 and 18.81

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Solution

The third proportional to 12.84 and 18.81 is: 27.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.84 : 18.81 = 18.81 : x
  2. Step 2: Convert to fraction form
    12.84/18.81 = 18.81/x
  3. Step 3: Cross multiply
    12.84x = 18.81 × 18.81
  4. Step 4: Simplify right side
    12.84x = 353.77
  5. Step 5: Solve for x
    x = 353.77/12.84
  6. Step 6: Final answer
    x = 27.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.