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Finding the Third Proportional to 2,826 and 3,236.75

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Solution

The third proportional to 2,826 and 3,236.75 is: 3,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826 : 3,236.75 = 3,236.75 : x
  2. Step 2: Convert to fraction form
    2,826/3,236.75 = 3,236.75/x
  3. Step 3: Cross multiply
    2,826x = 3,236.75 × 3,236.75
  4. Step 4: Simplify right side
    2,826x = 10,476,550.56
  5. Step 5: Solve for x
    x = 10,476,550.56/2,826
  6. Step 6: Final answer
    x = 3,707.20

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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.