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Finding the Third Proportional to 3.80 and 5.70

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Solution

The third proportional to 3.80 and 5.70 is: 8.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.80 : 5.70 = 5.70 : x
  2. Step 2: Convert to fraction form
    3.80/5.70 = 5.70/x
  3. Step 3: Cross multiply
    3.80x = 5.70 × 5.70
  4. Step 4: Simplify right side
    3.80x = 32.44
  5. Step 5: Solve for x
    x = 32.44/3.80
  6. Step 6: Final answer
    x = 8.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.