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Finding the Third Proportional to 20,104 and 27,642

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Solution

The third proportional to 20,104 and 27,642 is: 38,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104 : 27,642 = 27,642 : x
  2. Step 2: Convert to fraction form
    20,104/27,642 = 27,642/x
  3. Step 3: Cross multiply
    20,104x = 27,642 × 27,642
  4. Step 4: Simplify right side
    20,104x = 764,080,164
  5. Step 5: Solve for x
    x = 764,080,164/20,104
  6. Step 6: Final answer
    x = 38,006.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.