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Finding the Third Proportional to 2,944.97 and 6,408.56

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Solution

The third proportional to 2,944.97 and 6,408.56 is: 13,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.97 : 6,408.56 = 6,408.56 : x
  2. Step 2: Convert to fraction form
    2,944.97/6,408.56 = 6,408.56/x
  3. Step 3: Cross multiply
    2,944.97x = 6,408.56 × 6,408.56
  4. Step 4: Simplify right side
    2,944.97x = 41,069,673.32
  5. Step 5: Solve for x
    x = 41,069,673.32/2,944.97
  6. Step 6: Final answer
    x = 13,945.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.