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Finding the Third Proportional to 30,789.75 and 66,183.75

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Solution

The third proportional to 30,789.75 and 66,183.75 is: 142,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,789.75 : 66,183.75 = 66,183.75 : x
  2. Step 2: Convert to fraction form
    30,789.75/66,183.75 = 66,183.75/x
  3. Step 3: Cross multiply
    30,789.75x = 66,183.75 × 66,183.75
  4. Step 4: Simplify right side
    30,789.75x = 4,380,288,764.06
  5. Step 5: Solve for x
    x = 4,380,288,764.06/30,789.75
  6. Step 6: Final answer
    x = 142,264.51

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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.