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Finding the Third Proportional to 2,827.83 and 3,084.19

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Solution

The third proportional to 2,827.83 and 3,084.19 is: 3,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.83 : 3,084.19 = 3,084.19 : x
  2. Step 2: Convert to fraction form
    2,827.83/3,084.19 = 3,084.19/x
  3. Step 3: Cross multiply
    2,827.83x = 3,084.19 × 3,084.19
  4. Step 4: Simplify right side
    2,827.83x = 9,512,212.54
  5. Step 5: Solve for x
    x = 9,512,212.54/2,827.83
  6. Step 6: Final answer
    x = 3,363.79

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.