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Finding the Third Proportional to 17,982 and 39,116

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Solution

The third proportional to 17,982 and 39,116 is: 85,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982 : 39,116 = 39,116 : x
  2. Step 2: Convert to fraction form
    17,982/39,116 = 39,116/x
  3. Step 3: Cross multiply
    17,982x = 39,116 × 39,116
  4. Step 4: Simplify right side
    17,982x = 1,530,061,456
  5. Step 5: Solve for x
    x = 1,530,061,456/17,982
  6. Step 6: Final answer
    x = 85,088.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.