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Finding the Third Proportional to 2,805 and 6,183.75

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Solution

The third proportional to 2,805 and 6,183.75 is: 13,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805 : 6,183.75 = 6,183.75 : x
  2. Step 2: Convert to fraction form
    2,805/6,183.75 = 6,183.75/x
  3. Step 3: Cross multiply
    2,805x = 6,183.75 × 6,183.75
  4. Step 4: Simplify right side
    2,805x = 38,238,764.06
  5. Step 5: Solve for x
    x = 38,238,764.06/2,805
  6. Step 6: Final answer
    x = 13,632.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.