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Finding the Third Proportional to 11,982 and 27,723

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Solution

The third proportional to 11,982 and 27,723 is: 64,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982 : 27,723 = 27,723 : x
  2. Step 2: Convert to fraction form
    11,982/27,723 = 27,723/x
  3. Step 3: Cross multiply
    11,982x = 27,723 × 27,723
  4. Step 4: Simplify right side
    11,982x = 768,564,729
  5. Step 5: Solve for x
    x = 768,564,729/11,982
  6. Step 6: Final answer
    x = 64,143.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.