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Finding the Third Proportional to 3.80 and 30.38

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Solution

The third proportional to 3.80 and 30.38 is: 243

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.80 : 30.38 = 30.38 : x
  2. Step 2: Convert to fraction form
    3.80/30.38 = 30.38/x
  3. Step 3: Cross multiply
    3.80x = 30.38 × 30.38
  4. Step 4: Simplify right side
    3.80x = 922.64
  5. Step 5: Solve for x
    x = 922.64/3.80
  6. Step 6: Final answer
    x = 243

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Why These Related Problems?

These problems maintain the same ratio (8) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.