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Finding the Third Proportional to 37,928.25 and 54,632.25

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Solution

The third proportional to 37,928.25 and 54,632.25 is: 78,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,928.25 : 54,632.25 = 54,632.25 : x
  2. Step 2: Convert to fraction form
    37,928.25/54,632.25 = 54,632.25/x
  3. Step 3: Cross multiply
    37,928.25x = 54,632.25 × 54,632.25
  4. Step 4: Simplify right side
    37,928.25x = 2,984,682,740.06
  5. Step 5: Solve for x
    x = 2,984,682,740.06/37,928.25
  6. Step 6: Final answer
    x = 78,692.87

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.