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Finding the Third Proportional to 3,179.81 and 6,829.88

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Solution

The third proportional to 3,179.81 and 6,829.88 is: 14,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.81 : 6,829.88 = 6,829.88 : x
  2. Step 2: Convert to fraction form
    3,179.81/6,829.88 = 6,829.88/x
  3. Step 3: Cross multiply
    3,179.81x = 6,829.88 × 6,829.88
  4. Step 4: Simplify right side
    3,179.81x = 46,647,192.52
  5. Step 5: Solve for x
    x = 46,647,192.52/3,179.81
  6. Step 6: Final answer
    x = 14,669.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.