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Finding the Third Proportional to 30,789.38 and 66,183.13

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Solution

The third proportional to 30,789.38 and 66,183.13 is: 142,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,789.38 : 66,183.13 = 66,183.13 : x
  2. Step 2: Convert to fraction form
    30,789.38/66,183.13 = 66,183.13/x
  3. Step 3: Cross multiply
    30,789.38x = 66,183.13 × 66,183.13
  4. Step 4: Simplify right side
    30,789.38x = 4,380,206,034.77
  5. Step 5: Solve for x
    x = 4,380,206,034.77/30,789.38
  6. Step 6: Final answer
    x = 142,263.56

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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.