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Finding the Third Proportional to 37,579 and 87,383

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Solution

The third proportional to 37,579 and 87,383 is: 203,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,579 : 87,383 = 87,383 : x
  2. Step 2: Convert to fraction form
    37,579/87,383 = 87,383/x
  3. Step 3: Cross multiply
    37,579x = 87,383 × 87,383
  4. Step 4: Simplify right side
    37,579x = 7,635,788,689
  5. Step 5: Solve for x
    x = 7,635,788,689/37,579
  6. Step 6: Final answer
    x = 203,192.97

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.