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Finding the Third Proportional to 3,207.94 and 4,268.53

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Solution

The third proportional to 3,207.94 and 4,268.53 is: 5,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.94 : 4,268.53 = 4,268.53 : x
  2. Step 2: Convert to fraction form
    3,207.94/4,268.53 = 4,268.53/x
  3. Step 3: Cross multiply
    3,207.94x = 4,268.53 × 4,268.53
  4. Step 4: Simplify right side
    3,207.94x = 18,220,359.03
  5. Step 5: Solve for x
    x = 18,220,359.03/3,207.94
  6. Step 6: Final answer
    x = 5,679.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.