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Finding the Third Proportional to 4,462.75 and 6,268.75

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Solution

The third proportional to 4,462.75 and 6,268.75 is: 8,805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.75 : 6,268.75 = 6,268.75 : x
  2. Step 2: Convert to fraction form
    4,462.75/6,268.75 = 6,268.75/x
  3. Step 3: Cross multiply
    4,462.75x = 6,268.75 × 6,268.75
  4. Step 4: Simplify right side
    4,462.75x = 39,297,226.56
  5. Step 5: Solve for x
    x = 39,297,226.56/4,462.75
  6. Step 6: Final answer
    x = 8,805.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.