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Finding the Third Proportional to 3,195 and 4,293.75

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Solution

The third proportional to 3,195 and 4,293.75 is: 5,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195 : 4,293.75 = 4,293.75 : x
  2. Step 2: Convert to fraction form
    3,195/4,293.75 = 4,293.75/x
  3. Step 3: Cross multiply
    3,195x = 4,293.75 × 4,293.75
  4. Step 4: Simplify right side
    3,195x = 18,436,289.06
  5. Step 5: Solve for x
    x = 18,436,289.06/3,195
  6. Step 6: Final answer
    x = 5,770.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.