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Finding the Third Proportional to 18 and 37.69

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Solution

The third proportional to 18 and 37.69 is: 78.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18 : 37.69 = 37.69 : x
  2. Step 2: Convert to fraction form
    18/37.69 = 37.69/x
  3. Step 3: Cross multiply
    18x = 37.69 × 37.69
  4. Step 4: Simplify right side
    18x = 1,420.35
  5. Step 5: Solve for x
    x = 1,420.35/18
  6. Step 6: Final answer
    x = 78.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.