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Finding the Third Proportional to 3,408.75 and 7,023.38

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Solution

The third proportional to 3,408.75 and 7,023.38 is: 14,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.75 : 7,023.38 = 7,023.38 : x
  2. Step 2: Convert to fraction form
    3,408.75/7,023.38 = 7,023.38/x
  3. Step 3: Cross multiply
    3,408.75x = 7,023.38 × 7,023.38
  4. Step 4: Simplify right side
    3,408.75x = 49,327,796.39
  5. Step 5: Solve for x
    x = 49,327,796.39/3,408.75
  6. Step 6: Final answer
    x = 14,470.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.