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Finding the Third Proportional to 2,945.44 and 6,410.44

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Solution

The third proportional to 2,945.44 and 6,410.44 is: 13,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.44 : 6,410.44 = 6,410.44 : x
  2. Step 2: Convert to fraction form
    2,945.44/6,410.44 = 6,410.44/x
  3. Step 3: Cross multiply
    2,945.44x = 6,410.44 × 6,410.44
  4. Step 4: Simplify right side
    2,945.44x = 41,093,708.94
  5. Step 5: Solve for x
    x = 41,093,708.94/2,945.44
  6. Step 6: Final answer
    x = 13,951.65

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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.