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Finding the Third Proportional to 2,819.81 and 6,004.13

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Solution

The third proportional to 2,819.81 and 6,004.13 is: 12,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.81 : 6,004.13 = 6,004.13 : x
  2. Step 2: Convert to fraction form
    2,819.81/6,004.13 = 6,004.13/x
  3. Step 3: Cross multiply
    2,819.81x = 6,004.13 × 6,004.13
  4. Step 4: Simplify right side
    2,819.81x = 36,049,517.02
  5. Step 5: Solve for x
    x = 36,049,517.02/2,819.81
  6. Step 6: Final answer
    x = 12,784.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.