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Finding the Third Proportional to 40,311 and 61,857

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Solution

The third proportional to 40,311 and 61,857 is: 94,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,311 : 61,857 = 61,857 : x
  2. Step 2: Convert to fraction form
    40,311/61,857 = 61,857/x
  3. Step 3: Cross multiply
    40,311x = 61,857 × 61,857
  4. Step 4: Simplify right side
    40,311x = 3,826,288,449
  5. Step 5: Solve for x
    x = 3,826,288,449/40,311
  6. Step 6: Final answer
    x = 94,919.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.