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Finding the Third Proportional to 37,803 and 81,383

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Solution

The third proportional to 37,803 and 81,383 is: 175,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,803 : 81,383 = 81,383 : x
  2. Step 2: Convert to fraction form
    37,803/81,383 = 81,383/x
  3. Step 3: Cross multiply
    37,803x = 81,383 × 81,383
  4. Step 4: Simplify right side
    37,803x = 6,623,192,689
  5. Step 5: Solve for x
    x = 6,623,192,689/37,803
  6. Step 6: Final answer
    x = 175,202.83

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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.