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Finding the Third Proportional to 2,004.75 and 2,819.81

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Solution

The third proportional to 2,004.75 and 2,819.81 is: 3,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.75 : 2,819.81 = 2,819.81 : x
  2. Step 2: Convert to fraction form
    2,004.75/2,819.81 = 2,819.81/x
  3. Step 3: Cross multiply
    2,004.75x = 2,819.81 × 2,819.81
  4. Step 4: Simplify right side
    2,004.75x = 7,951,342.54
  5. Step 5: Solve for x
    x = 7,951,342.54/2,004.75
  6. Step 6: Final answer
    x = 3,966.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.