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Finding the Third Proportional to 37,975.50 and 55,491.75

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Solution

The third proportional to 37,975.50 and 55,491.75 is: 81,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,975.50 : 55,491.75 = 55,491.75 : x
  2. Step 2: Convert to fraction form
    37,975.50/55,491.75 = 55,491.75/x
  3. Step 3: Cross multiply
    37,975.50x = 55,491.75 × 55,491.75
  4. Step 4: Simplify right side
    37,975.50x = 3,079,334,318.06
  5. Step 5: Solve for x
    x = 3,079,334,318.06/37,975.50
  6. Step 6: Final answer
    x = 81,087.39

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.