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Finding the Third Proportional to 2,600.44 and 3,900.09

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Solution

The third proportional to 2,600.44 and 3,900.09 is: 5,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.44 : 3,900.09 = 3,900.09 : x
  2. Step 2: Convert to fraction form
    2,600.44/3,900.09 = 3,900.09/x
  3. Step 3: Cross multiply
    2,600.44x = 3,900.09 × 3,900.09
  4. Step 4: Simplify right side
    2,600.44x = 15,210,731.26
  5. Step 5: Solve for x
    x = 15,210,731.26/2,600.44
  6. Step 6: Final answer
    x = 5,849.30

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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.