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Finding the Third Proportional to 22,832 and 33,458

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Solution

The third proportional to 22,832 and 33,458 is: 49,029.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832 : 33,458 = 33,458 : x
  2. Step 2: Convert to fraction form
    22,832/33,458 = 33,458/x
  3. Step 3: Cross multiply
    22,832x = 33,458 × 33,458
  4. Step 4: Simplify right side
    22,832x = 1,119,437,764
  5. Step 5: Solve for x
    x = 1,119,437,764/22,832
  6. Step 6: Final answer
    x = 49,029.33

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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.