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Finding the Third Proportional to 3,410.44 and 5,120.30

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Solution

The third proportional to 3,410.44 and 5,120.30 is: 7,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.44 : 5,120.30 = 5,120.30 : x
  2. Step 2: Convert to fraction form
    3,410.44/5,120.30 = 5,120.30/x
  3. Step 3: Cross multiply
    3,410.44x = 5,120.30 × 5,120.30
  4. Step 4: Simplify right side
    3,410.44x = 26,217,440.09
  5. Step 5: Solve for x
    x = 26,217,440.09/3,410.44
  6. Step 6: Final answer
    x = 7,687.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.