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Finding the Third Proportional to 37,055 and 54,185

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Solution

The third proportional to 37,055 and 54,185 is: 79,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,055 : 54,185 = 54,185 : x
  2. Step 2: Convert to fraction form
    37,055/54,185 = 54,185/x
  3. Step 3: Cross multiply
    37,055x = 54,185 × 54,185
  4. Step 4: Simplify right side
    37,055x = 2,936,014,225
  5. Step 5: Solve for x
    x = 2,936,014,225/37,055
  6. Step 6: Final answer
    x = 79,233.96

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Why These Related Problems?

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