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Finding the Third Proportional to 29,739 and 61,944.75

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Solution

The third proportional to 29,739 and 61,944.75 is: 129,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,739 : 61,944.75 = 61,944.75 : x
  2. Step 2: Convert to fraction form
    29,739/61,944.75 = 61,944.75/x
  3. Step 3: Cross multiply
    29,739x = 61,944.75 × 61,944.75
  4. Step 4: Simplify right side
    29,739x = 3,837,152,052.56
  5. Step 5: Solve for x
    x = 3,837,152,052.56/29,739
  6. Step 6: Final answer
    x = 129,027.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.