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Finding the Third Proportional to 36,815 and 55,529

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Solution

The third proportional to 36,815 and 55,529 is: 83,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,815 : 55,529 = 55,529 : x
  2. Step 2: Convert to fraction form
    36,815/55,529 = 55,529/x
  3. Step 3: Cross multiply
    36,815x = 55,529 × 55,529
  4. Step 4: Simplify right side
    36,815x = 3,083,469,841
  5. Step 5: Solve for x
    x = 3,083,469,841/36,815
  6. Step 6: Final answer
    x = 83,755.80

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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.