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Finding the Third Proportional to 20,104 and 27,678

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Solution

The third proportional to 20,104 and 27,678 is: 38,105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104 : 27,678 = 27,678 : x
  2. Step 2: Convert to fraction form
    20,104/27,678 = 27,678/x
  3. Step 3: Cross multiply
    20,104x = 27,678 × 27,678
  4. Step 4: Simplify right side
    20,104x = 766,071,684
  5. Step 5: Solve for x
    x = 766,071,684/20,104
  6. Step 6: Final answer
    x = 38,105.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.