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Finding the Third Proportional to 3,947.91 and 8,556.47

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Solution

The third proportional to 3,947.91 and 8,556.47 is: 18,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.91 : 8,556.47 = 8,556.47 : x
  2. Step 2: Convert to fraction form
    3,947.91/8,556.47 = 8,556.47/x
  3. Step 3: Cross multiply
    3,947.91x = 8,556.47 × 8,556.47
  4. Step 4: Simplify right side
    3,947.91x = 73,213,157.47
  5. Step 5: Solve for x
    x = 73,213,157.47/3,947.91
  6. Step 6: Final answer
    x = 18,544.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.