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Finding the Third Proportional to 3,183 and 6,836.25

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Solution

The third proportional to 3,183 and 6,836.25 is: 14,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183 : 6,836.25 = 6,836.25 : x
  2. Step 2: Convert to fraction form
    3,183/6,836.25 = 6,836.25/x
  3. Step 3: Cross multiply
    3,183x = 6,836.25 × 6,836.25
  4. Step 4: Simplify right side
    3,183x = 46,734,314.06
  5. Step 5: Solve for x
    x = 46,734,314.06/3,183
  6. Step 6: Final answer
    x = 14,682.47

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Why These Related Problems?

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