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Finding the Third Proportional to 3,285.25 and 5,201.25

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Solution

The third proportional to 3,285.25 and 5,201.25 is: 8,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.25 : 5,201.25 = 5,201.25 : x
  2. Step 2: Convert to fraction form
    3,285.25/5,201.25 = 5,201.25/x
  3. Step 3: Cross multiply
    3,285.25x = 5,201.25 × 5,201.25
  4. Step 4: Simplify right side
    3,285.25x = 27,053,001.56
  5. Step 5: Solve for x
    x = 27,053,001.56/3,285.25
  6. Step 6: Final answer
    x = 8,234.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.