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Finding the Third Proportional to 13,997 and 21,104

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Solution

The third proportional to 13,997 and 21,104 is: 31,819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997 : 21,104 = 21,104 : x
  2. Step 2: Convert to fraction form
    13,997/21,104 = 21,104/x
  3. Step 3: Cross multiply
    13,997x = 21,104 × 21,104
  4. Step 4: Simplify right side
    13,997x = 445,378,816
  5. Step 5: Solve for x
    x = 445,378,816/13,997
  6. Step 6: Final answer
    x = 31,819.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.