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Finding the Third Proportional to 17,997 and 39,573

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Solution

The third proportional to 17,997 and 39,573 is: 87,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,997 : 39,573 = 39,573 : x
  2. Step 2: Convert to fraction form
    17,997/39,573 = 39,573/x
  3. Step 3: Cross multiply
    17,997x = 39,573 × 39,573
  4. Step 4: Simplify right side
    17,997x = 1,566,022,329
  5. Step 5: Solve for x
    x = 1,566,022,329/17,997
  6. Step 6: Final answer
    x = 87,015.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.