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Finding the Third Proportional to 13,997.25 and 20,997

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Solution

The third proportional to 13,997.25 and 20,997 is: 31,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.25 : 20,997 = 20,997 : x
  2. Step 2: Convert to fraction form
    13,997.25/20,997 = 20,997/x
  3. Step 3: Cross multiply
    13,997.25x = 20,997 × 20,997
  4. Step 4: Simplify right side
    13,997.25x = 440,874,009
  5. Step 5: Solve for x
    x = 440,874,009/13,997.25
  6. Step 6: Final answer
    x = 31,497.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.