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Finding the Third Proportional to 37,794.09 and 54,632.81

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Solution

The third proportional to 37,794.09 and 54,632.81 is: 78,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,794.09 : 54,632.81 = 54,632.81 : x
  2. Step 2: Convert to fraction form
    37,794.09/54,632.81 = 54,632.81/x
  3. Step 3: Cross multiply
    37,794.09x = 54,632.81 × 54,632.81
  4. Step 4: Simplify right side
    37,794.09x = 2,984,744,201.66
  5. Step 5: Solve for x
    x = 2,984,744,201.66/37,794.09
  6. Step 6: Final answer
    x = 78,973.83

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.