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Finding the Third Proportional to 3,195.75 and 3,659.25

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Solution

The third proportional to 3,195.75 and 3,659.25 is: 4,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.75 : 3,659.25 = 3,659.25 : x
  2. Step 2: Convert to fraction form
    3,195.75/3,659.25 = 3,659.25/x
  3. Step 3: Cross multiply
    3,195.75x = 3,659.25 × 3,659.25
  4. Step 4: Simplify right side
    3,195.75x = 13,390,110.56
  5. Step 5: Solve for x
    x = 13,390,110.56/3,195.75
  6. Step 6: Final answer
    x = 4,189.97

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.