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Finding the Third Proportional to 40,885 and 61,529

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Solution

The third proportional to 40,885 and 61,529 is: 92,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,885 : 61,529 = 61,529 : x
  2. Step 2: Convert to fraction form
    40,885/61,529 = 61,529/x
  3. Step 3: Cross multiply
    40,885x = 61,529 × 61,529
  4. Step 4: Simplify right side
    40,885x = 3,785,817,841
  5. Step 5: Solve for x
    x = 3,785,817,841/40,885
  6. Step 6: Final answer
    x = 92,596.74

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Why These Related Problems?

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