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Finding the Third Proportional to 3,819.97 and 8,054.75

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Solution

The third proportional to 3,819.97 and 8,054.75 is: 16,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.97 : 8,054.75 = 8,054.75 : x
  2. Step 2: Convert to fraction form
    3,819.97/8,054.75 = 8,054.75/x
  3. Step 3: Cross multiply
    3,819.97x = 8,054.75 × 8,054.75
  4. Step 4: Simplify right side
    3,819.97x = 64,879,060.49
  5. Step 5: Solve for x
    x = 64,879,060.49/3,819.97
  6. Step 6: Final answer
    x = 16,984.17

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.