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Finding the Third Proportional to 36,009.56 and 49,982.06

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Solution

The third proportional to 36,009.56 and 49,982.06 is: 69,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,009.56 : 49,982.06 = 49,982.06 : x
  2. Step 2: Convert to fraction form
    36,009.56/49,982.06 = 49,982.06/x
  3. Step 3: Cross multiply
    36,009.56x = 49,982.06 × 49,982.06
  4. Step 4: Simplify right side
    36,009.56x = 2,498,206,571.75
  5. Step 5: Solve for x
    x = 2,498,206,571.75/36,009.56
  6. Step 6: Final answer
    x = 69,376.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.