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Finding the Third Proportional to 3,201.75 and 6,454.13

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Solution

The third proportional to 3,201.75 and 6,454.13 is: 13,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.75 : 6,454.13 = 6,454.13 : x
  2. Step 2: Convert to fraction form
    3,201.75/6,454.13 = 6,454.13/x
  3. Step 3: Cross multiply
    3,201.75x = 6,454.13 × 6,454.13
  4. Step 4: Simplify right side
    3,201.75x = 41,655,729.52
  5. Step 5: Solve for x
    x = 41,655,729.52/3,201.75
  6. Step 6: Final answer
    x = 13,010.30

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.