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Finding the Third Proportional to 4,745.46 and 7,078.96

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Solution

The third proportional to 4,745.46 and 7,078.96 is: 10,559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.46 : 7,078.96 = 7,078.96 : x
  2. Step 2: Convert to fraction form
    4,745.46/7,078.96 = 7,078.96/x
  3. Step 3: Cross multiply
    4,745.46x = 7,078.96 × 7,078.96
  4. Step 4: Simplify right side
    4,745.46x = 50,111,632.65
  5. Step 5: Solve for x
    x = 50,111,632.65/4,745.46
  6. Step 6: Final answer
    x = 10,559.91

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