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Finding the Third Proportional to 22,523 and 33,107

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Solution

The third proportional to 22,523 and 33,107 is: 48,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523 : 33,107 = 33,107 : x
  2. Step 2: Convert to fraction form
    22,523/33,107 = 33,107/x
  3. Step 3: Cross multiply
    22,523x = 33,107 × 33,107
  4. Step 4: Simplify right side
    22,523x = 1,096,073,449
  5. Step 5: Solve for x
    x = 1,096,073,449/22,523
  6. Step 6: Final answer
    x = 48,664.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.