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Finding the Third Proportional to 18.77 and 38.79

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Solution

The third proportional to 18.77 and 38.79 is: 80.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.77 : 38.79 = 38.79 : x
  2. Step 2: Convert to fraction form
    18.77/38.79 = 38.79/x
  3. Step 3: Cross multiply
    18.77x = 38.79 × 38.79
  4. Step 4: Simplify right side
    18.77x = 1,504.45
  5. Step 5: Solve for x
    x = 1,504.45/18.77
  6. Step 6: Final answer
    x = 80.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.