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Finding the Third Proportional to 37,983 and 81,801

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Solution

The third proportional to 37,983 and 81,801 is: 176,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,983 : 81,801 = 81,801 : x
  2. Step 2: Convert to fraction form
    37,983/81,801 = 81,801/x
  3. Step 3: Cross multiply
    37,983x = 81,801 × 81,801
  4. Step 4: Simplify right side
    37,983x = 6,691,403,601
  5. Step 5: Solve for x
    x = 6,691,403,601/37,983
  6. Step 6: Final answer
    x = 176,168.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.