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Finding the Third Proportional to 37,998 and 87,965

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Solution

The third proportional to 37,998 and 87,965 is: 203,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,998 : 87,965 = 87,965 : x
  2. Step 2: Convert to fraction form
    37,998/87,965 = 87,965/x
  3. Step 3: Cross multiply
    37,998x = 87,965 × 87,965
  4. Step 4: Simplify right side
    37,998x = 7,737,841,225
  5. Step 5: Solve for x
    x = 7,737,841,225/37,998
  6. Step 6: Final answer
    x = 203,638.12

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.