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Finding the Third Proportional to 37,983 and 81,809

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Solution

The third proportional to 37,983 and 81,809 is: 176,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,983 : 81,809 = 81,809 : x
  2. Step 2: Convert to fraction form
    37,983/81,809 = 81,809/x
  3. Step 3: Cross multiply
    37,983x = 81,809 × 81,809
  4. Step 4: Simplify right side
    37,983x = 6,692,712,481
  5. Step 5: Solve for x
    x = 6,692,712,481/37,983
  6. Step 6: Final answer
    x = 176,202.84

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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.