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Finding the Third Proportional to 20,659 and 27,844

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Solution

The third proportional to 20,659 and 27,844 is: 37,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,659 : 27,844 = 27,844 : x
  2. Step 2: Convert to fraction form
    20,659/27,844 = 27,844/x
  3. Step 3: Cross multiply
    20,659x = 27,844 × 27,844
  4. Step 4: Simplify right side
    20,659x = 775,288,336
  5. Step 5: Solve for x
    x = 775,288,336/20,659
  6. Step 6: Final answer
    x = 37,527.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.