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Finding the Third Proportional to 4,772.67 and 7,255.83

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Solution

The third proportional to 4,772.67 and 7,255.83 is: 11,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.67 : 7,255.83 = 7,255.83 : x
  2. Step 2: Convert to fraction form
    4,772.67/7,255.83 = 7,255.83/x
  3. Step 3: Cross multiply
    4,772.67x = 7,255.83 × 7,255.83
  4. Step 4: Simplify right side
    4,772.67x = 52,647,041.78
  5. Step 5: Solve for x
    x = 52,647,041.78/4,772.67
  6. Step 6: Final answer
    x = 11,030.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.