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Finding the Third Proportional to 20,305.69 and 27,519.75

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Solution

The third proportional to 20,305.69 and 27,519.75 is: 37,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305.69 : 27,519.75 = 27,519.75 : x
  2. Step 2: Convert to fraction form
    20,305.69/27,519.75 = 27,519.75/x
  3. Step 3: Cross multiply
    20,305.69x = 27,519.75 × 27,519.75
  4. Step 4: Simplify right side
    20,305.69x = 757,336,640.06
  5. Step 5: Solve for x
    x = 757,336,640.06/20,305.69
  6. Step 6: Final answer
    x = 37,296.77

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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.