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Finding the Third Proportional to 37,790.38 and 54,628.75

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Solution

The third proportional to 37,790.38 and 54,628.75 is: 78,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,790.38 : 54,628.75 = 54,628.75 : x
  2. Step 2: Convert to fraction form
    37,790.38/54,628.75 = 54,628.75/x
  3. Step 3: Cross multiply
    37,790.38x = 54,628.75 × 54,628.75
  4. Step 4: Simplify right side
    37,790.38x = 2,984,300,326.56
  5. Step 5: Solve for x
    x = 2,984,300,326.56/37,790.38
  6. Step 6: Final answer
    x = 78,969.85

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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.