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Finding the Third Proportional to 20,776.50 and 27,843.75

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Solution

The third proportional to 20,776.50 and 27,843.75 is: 37,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.50 : 27,843.75 = 27,843.75 : x
  2. Step 2: Convert to fraction form
    20,776.50/27,843.75 = 27,843.75/x
  3. Step 3: Cross multiply
    20,776.50x = 27,843.75 × 27,843.75
  4. Step 4: Simplify right side
    20,776.50x = 775,274,414.06
  5. Step 5: Solve for x
    x = 775,274,414.06/20,776.50
  6. Step 6: Final answer
    x = 37,314.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.