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Finding the Third Proportional to 38,311 and 57,837

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Solution

The third proportional to 38,311 and 57,837 is: 87,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,311 : 57,837 = 57,837 : x
  2. Step 2: Convert to fraction form
    38,311/57,837 = 57,837/x
  3. Step 3: Cross multiply
    38,311x = 57,837 × 57,837
  4. Step 4: Simplify right side
    38,311x = 3,345,118,569
  5. Step 5: Solve for x
    x = 3,345,118,569/38,311
  6. Step 6: Final answer
    x = 87,314.83

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Why These Related Problems?

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