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Finding the Third Proportional to 37,123 and 57,571

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Solution

The third proportional to 37,123 and 57,571 is: 89,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,123 : 57,571 = 57,571 : x
  2. Step 2: Convert to fraction form
    37,123/57,571 = 57,571/x
  3. Step 3: Cross multiply
    37,123x = 57,571 × 57,571
  4. Step 4: Simplify right side
    37,123x = 3,314,420,041
  5. Step 5: Solve for x
    x = 3,314,420,041/37,123
  6. Step 6: Final answer
    x = 89,282.12

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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.