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Finding the Third Proportional to 18,015.75 and 27,997.31

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Solution

The third proportional to 18,015.75 and 27,997.31 is: 43,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,015.75 : 27,997.31 = 27,997.31 : x
  2. Step 2: Convert to fraction form
    18,015.75/27,997.31 = 27,997.31/x
  3. Step 3: Cross multiply
    18,015.75x = 27,997.31 × 27,997.31
  4. Step 4: Simplify right side
    18,015.75x = 783,849,507.22
  5. Step 5: Solve for x
    x = 783,849,507.22/18,015.75
  6. Step 6: Final answer
    x = 43,509.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.