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Finding the Third Proportional to 37,831 and 57,273

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Solution

The third proportional to 37,831 and 57,273 is: 86,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,831 : 57,273 = 57,273 : x
  2. Step 2: Convert to fraction form
    37,831/57,273 = 57,273/x
  3. Step 3: Cross multiply
    37,831x = 57,273 × 57,273
  4. Step 4: Simplify right side
    37,831x = 3,280,196,529
  5. Step 5: Solve for x
    x = 3,280,196,529/37,831
  6. Step 6: Final answer
    x = 86,706.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.