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Finding the Third Proportional to 6,202.20 and 9,183.69

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Solution

The third proportional to 6,202.20 and 9,183.69 is: 13,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.20 : 9,183.69 = 9,183.69 : x
  2. Step 2: Convert to fraction form
    6,202.20/9,183.69 = 9,183.69/x
  3. Step 3: Cross multiply
    6,202.20x = 9,183.69 × 9,183.69
  4. Step 4: Simplify right side
    6,202.20x = 84,340,187.85
  5. Step 5: Solve for x
    x = 84,340,187.85/6,202.20
  6. Step 6: Final answer
    x = 13,598.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.