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Finding the Third Proportional to 33,013 and 44,855

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Solution

The third proportional to 33,013 and 44,855 is: 60,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,013 : 44,855 = 44,855 : x
  2. Step 2: Convert to fraction form
    33,013/44,855 = 44,855/x
  3. Step 3: Cross multiply
    33,013x = 44,855 × 44,855
  4. Step 4: Simplify right side
    33,013x = 2,011,971,025
  5. Step 5: Solve for x
    x = 2,011,971,025/33,013
  6. Step 6: Final answer
    x = 60,944.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.