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Finding the Third Proportional to 49,853.75 and 73,997.75

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Solution

The third proportional to 49,853.75 and 73,997.75 is: 109,834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,853.75 : 73,997.75 = 73,997.75 : x
  2. Step 2: Convert to fraction form
    49,853.75/73,997.75 = 73,997.75/x
  3. Step 3: Cross multiply
    49,853.75x = 73,997.75 × 73,997.75
  4. Step 4: Simplify right side
    49,853.75x = 5,475,667,005.06
  5. Step 5: Solve for x
    x = 5,475,667,005.06/49,853.75
  6. Step 6: Final answer
    x = 109,834.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.