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Finding the Third Proportional to 22,233 and 33,914

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Solution

The third proportional to 22,233 and 33,914 is: 51,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,233 : 33,914 = 33,914 : x
  2. Step 2: Convert to fraction form
    22,233/33,914 = 33,914/x
  3. Step 3: Cross multiply
    22,233x = 33,914 × 33,914
  4. Step 4: Simplify right side
    22,233x = 1,150,159,396
  5. Step 5: Solve for x
    x = 1,150,159,396/22,233
  6. Step 6: Final answer
    x = 51,732.08

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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.