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Finding the Third Proportional to 19,966 and 27,761

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Solution

The third proportional to 19,966 and 27,761 is: 38,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,966 : 27,761 = 27,761 : x
  2. Step 2: Convert to fraction form
    19,966/27,761 = 27,761/x
  3. Step 3: Cross multiply
    19,966x = 27,761 × 27,761
  4. Step 4: Simplify right side
    19,966x = 770,673,121
  5. Step 5: Solve for x
    x = 770,673,121/19,966
  6. Step 6: Final answer
    x = 38,599.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.