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Finding the Third Proportional to 4,392.75 and 7,025.75

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Solution

The third proportional to 4,392.75 and 7,025.75 is: 11,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392.75 : 7,025.75 = 7,025.75 : x
  2. Step 2: Convert to fraction form
    4,392.75/7,025.75 = 7,025.75/x
  3. Step 3: Cross multiply
    4,392.75x = 7,025.75 × 7,025.75
  4. Step 4: Simplify right side
    4,392.75x = 49,361,163.06
  5. Step 5: Solve for x
    x = 49,361,163.06/4,392.75
  6. Step 6: Final answer
    x = 11,236.96

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.