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Finding the Third Proportional to 4,266.42 and 6,183.21

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Solution

The third proportional to 4,266.42 and 6,183.21 is: 8,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.42 : 6,183.21 = 6,183.21 : x
  2. Step 2: Convert to fraction form
    4,266.42/6,183.21 = 6,183.21/x
  3. Step 3: Cross multiply
    4,266.42x = 6,183.21 × 6,183.21
  4. Step 4: Simplify right side
    4,266.42x = 38,232,097.50
  5. Step 5: Solve for x
    x = 38,232,097.50/4,266.42
  6. Step 6: Final answer
    x = 8,961.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.