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Finding the Third Proportional to 3,427.03 and 7,441.31

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Solution

The third proportional to 3,427.03 and 7,441.31 is: 16,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.03 : 7,441.31 = 7,441.31 : x
  2. Step 2: Convert to fraction form
    3,427.03/7,441.31 = 7,441.31/x
  3. Step 3: Cross multiply
    3,427.03x = 7,441.31 × 7,441.31
  4. Step 4: Simplify right side
    3,427.03x = 55,373,131.72
  5. Step 5: Solve for x
    x = 55,373,131.72/3,427.03
  6. Step 6: Final answer
    x = 16,157.76

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Why These Related Problems?

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