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Finding the Third Proportional to 37,601.50 and 55,997

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Solution

The third proportional to 37,601.50 and 55,997 is: 83,391.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,601.50 : 55,997 = 55,997 : x
  2. Step 2: Convert to fraction form
    37,601.50/55,997 = 55,997/x
  3. Step 3: Cross multiply
    37,601.50x = 55,997 × 55,997
  4. Step 4: Simplify right side
    37,601.50x = 3,135,664,009
  5. Step 5: Solve for x
    x = 3,135,664,009/37,601.50
  6. Step 6: Final answer
    x = 83,391.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.