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Finding the Third Proportional to 16,964.44 and 23,857.03

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Solution

The third proportional to 16,964.44 and 23,857.03 is: 33,550.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.44 : 23,857.03 = 23,857.03 : x
  2. Step 2: Convert to fraction form
    16,964.44/23,857.03 = 23,857.03/x
  3. Step 3: Cross multiply
    16,964.44x = 23,857.03 × 23,857.03
  4. Step 4: Simplify right side
    16,964.44x = 569,157,940.06
  5. Step 5: Solve for x
    x = 569,157,940.06/16,964.44
  6. Step 6: Final answer
    x = 33,550.06

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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.