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Finding the Third Proportional to 22,997 and 35,163

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Solution

The third proportional to 22,997 and 35,163 is: 53,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997 : 35,163 = 35,163 : x
  2. Step 2: Convert to fraction form
    22,997/35,163 = 35,163/x
  3. Step 3: Cross multiply
    22,997x = 35,163 × 35,163
  4. Step 4: Simplify right side
    22,997x = 1,236,436,569
  5. Step 5: Solve for x
    x = 1,236,436,569/22,997
  6. Step 6: Final answer
    x = 53,765.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.