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Finding the Third Proportional to 16,997.53 and 23,893.97

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Solution

The third proportional to 16,997.53 and 23,893.97 is: 33,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,997.53 : 23,893.97 = 23,893.97 : x
  2. Step 2: Convert to fraction form
    16,997.53/23,893.97 = 23,893.97/x
  3. Step 3: Cross multiply
    16,997.53x = 23,893.97 × 23,893.97
  4. Step 4: Simplify right side
    16,997.53x = 570,921,742.63
  5. Step 5: Solve for x
    x = 570,921,742.63/16,997.53
  6. Step 6: Final answer
    x = 33,588.51

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