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Finding the Third Proportional to 36,644.06 and 80,301.56

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Solution

The third proportional to 36,644.06 and 80,301.56 is: 175,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,644.06 : 80,301.56 = 80,301.56 : x
  2. Step 2: Convert to fraction form
    36,644.06/80,301.56 = 80,301.56/x
  3. Step 3: Cross multiply
    36,644.06x = 80,301.56 × 80,301.56
  4. Step 4: Simplify right side
    36,644.06x = 6,448,340,939.94
  5. Step 5: Solve for x
    x = 6,448,340,939.94/36,644.06
  6. Step 6: Final answer
    x = 175,972.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.