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Finding the Third Proportional to 20,760 and 43,544

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Solution

The third proportional to 20,760 and 43,544 is: 91,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,760 : 43,544 = 43,544 : x
  2. Step 2: Convert to fraction form
    20,760/43,544 = 43,544/x
  3. Step 3: Cross multiply
    20,760x = 43,544 × 43,544
  4. Step 4: Simplify right side
    20,760x = 1,896,079,936
  5. Step 5: Solve for x
    x = 1,896,079,936/20,760
  6. Step 6: Final answer
    x = 91,333.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.