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Finding the Third Proportional to 37,113.75 and 54,974.25

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Solution

The third proportional to 37,113.75 and 54,974.25 is: 81,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,113.75 : 54,974.25 = 54,974.25 : x
  2. Step 2: Convert to fraction form
    37,113.75/54,974.25 = 54,974.25/x
  3. Step 3: Cross multiply
    37,113.75x = 54,974.25 × 54,974.25
  4. Step 4: Simplify right side
    37,113.75x = 3,022,168,163.06
  5. Step 5: Solve for x
    x = 3,022,168,163.06/37,113.75
  6. Step 6: Final answer
    x = 81,429.88

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.