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Finding the Third Proportional to 18,671 and 27,961

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Solution

The third proportional to 18,671 and 27,961 is: 41,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,671 : 27,961 = 27,961 : x
  2. Step 2: Convert to fraction form
    18,671/27,961 = 27,961/x
  3. Step 3: Cross multiply
    18,671x = 27,961 × 27,961
  4. Step 4: Simplify right side
    18,671x = 781,817,521
  5. Step 5: Solve for x
    x = 781,817,521/18,671
  6. Step 6: Final answer
    x = 41,873.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.