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Finding the Third Proportional to 23,436 and 33,372

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Solution

The third proportional to 23,436 and 33,372 is: 47,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,436 : 33,372 = 33,372 : x
  2. Step 2: Convert to fraction form
    23,436/33,372 = 33,372/x
  3. Step 3: Cross multiply
    23,436x = 33,372 × 33,372
  4. Step 4: Simplify right side
    23,436x = 1,113,690,384
  5. Step 5: Solve for x
    x = 1,113,690,384/23,436
  6. Step 6: Final answer
    x = 47,520.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.