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Finding the Third Proportional to 37,333 and 57,812

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Solution

The third proportional to 37,333 and 57,812 is: 89,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,333 : 57,812 = 57,812 : x
  2. Step 2: Convert to fraction form
    37,333/57,812 = 57,812/x
  3. Step 3: Cross multiply
    37,333x = 57,812 × 57,812
  4. Step 4: Simplify right side
    37,333x = 3,342,227,344
  5. Step 5: Solve for x
    x = 3,342,227,344/37,333
  6. Step 6: Final answer
    x = 89,524.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.