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Finding the Third Proportional to 17,997 and 36,714

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Solution

The third proportional to 17,997 and 36,714 is: 74,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,997 : 36,714 = 36,714 : x
  2. Step 2: Convert to fraction form
    17,997/36,714 = 36,714/x
  3. Step 3: Cross multiply
    17,997x = 36,714 × 36,714
  4. Step 4: Simplify right side
    17,997x = 1,347,917,796
  5. Step 5: Solve for x
    x = 1,347,917,796/17,997
  6. Step 6: Final answer
    x = 74,896.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.