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Finding the Third Proportional to 1,996.31 and 5,408.02

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Solution

The third proportional to 1,996.31 and 5,408.02 is: 14,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.31 : 5,408.02 = 5,408.02 : x
  2. Step 2: Convert to fraction form
    1,996.31/5,408.02 = 5,408.02/x
  3. Step 3: Cross multiply
    1,996.31x = 5,408.02 × 5,408.02
  4. Step 4: Simplify right side
    1,996.31x = 29,246,633.00
  5. Step 5: Solve for x
    x = 29,246,633.00/1,996.31
  6. Step 6: Final answer
    x = 14,650.33

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.