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Finding the Third Proportional to 32,190.75 and 49,843.69

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Solution

The third proportional to 32,190.75 and 49,843.69 is: 77,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190.75 : 49,843.69 = 49,843.69 : x
  2. Step 2: Convert to fraction form
    32,190.75/49,843.69 = 49,843.69/x
  3. Step 3: Cross multiply
    32,190.75x = 49,843.69 × 49,843.69
  4. Step 4: Simplify right side
    32,190.75x = 2,484,393,183.60
  5. Step 5: Solve for x
    x = 2,484,393,183.60/32,190.75
  6. Step 6: Final answer
    x = 77,177.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.