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Finding the Third Proportional to 16,997.39 and 23,893.80

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Solution

The third proportional to 16,997.39 and 23,893.80 is: 33,588.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,997.39 : 23,893.80 = 23,893.80 : x
  2. Step 2: Convert to fraction form
    16,997.39/23,893.80 = 23,893.80/x
  3. Step 3: Cross multiply
    16,997.39x = 23,893.80 × 23,893.80
  4. Step 4: Simplify right side
    16,997.39x = 570,913,902.44
  5. Step 5: Solve for x
    x = 570,913,902.44/16,997.39
  6. Step 6: Final answer
    x = 33,588.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.