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Finding the Third Proportional to 22,944 and 33,529

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Solution

The third proportional to 22,944 and 33,529 is: 48,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,944 : 33,529 = 33,529 : x
  2. Step 2: Convert to fraction form
    22,944/33,529 = 33,529/x
  3. Step 3: Cross multiply
    22,944x = 33,529 × 33,529
  4. Step 4: Simplify right side
    22,944x = 1,124,193,841
  5. Step 5: Solve for x
    x = 1,124,193,841/22,944
  6. Step 6: Final answer
    x = 48,997.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.