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Finding the Third Proportional to 41,339 and 61,917

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Solution

The third proportional to 41,339 and 61,917 is: 92,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,339 : 61,917 = 61,917 : x
  2. Step 2: Convert to fraction form
    41,339/61,917 = 61,917/x
  3. Step 3: Cross multiply
    41,339x = 61,917 × 61,917
  4. Step 4: Simplify right side
    41,339x = 3,833,714,889
  5. Step 5: Solve for x
    x = 3,833,714,889/41,339
  6. Step 6: Final answer
    x = 92,738.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.