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Finding the Third Proportional to 2,855.04 and 4,268.11

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Solution

The third proportional to 2,855.04 and 4,268.11 is: 6,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.04 : 4,268.11 = 4,268.11 : x
  2. Step 2: Convert to fraction form
    2,855.04/4,268.11 = 4,268.11/x
  3. Step 3: Cross multiply
    2,855.04x = 4,268.11 × 4,268.11
  4. Step 4: Simplify right side
    2,855.04x = 18,216,757.64
  5. Step 5: Solve for x
    x = 18,216,757.64/2,855.04
  6. Step 6: Final answer
    x = 6,380.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.