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Finding the Third Proportional to 4,556.44 and 7,138.41

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Solution

The third proportional to 4,556.44 and 7,138.41 is: 11,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.44 : 7,138.41 = 7,138.41 : x
  2. Step 2: Convert to fraction form
    4,556.44/7,138.41 = 7,138.41/x
  3. Step 3: Cross multiply
    4,556.44x = 7,138.41 × 7,138.41
  4. Step 4: Simplify right side
    4,556.44x = 50,956,843.79
  5. Step 5: Solve for x
    x = 50,956,843.79/4,556.44
  6. Step 6: Final answer
    x = 11,183.48

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.