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Finding the Third Proportional to 33,348 and 72,231

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Solution

The third proportional to 33,348 and 72,231 is: 156,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,348 : 72,231 = 72,231 : x
  2. Step 2: Convert to fraction form
    33,348/72,231 = 72,231/x
  3. Step 3: Cross multiply
    33,348x = 72,231 × 72,231
  4. Step 4: Simplify right side
    33,348x = 5,217,317,361
  5. Step 5: Solve for x
    x = 5,217,317,361/33,348
  6. Step 6: Final answer
    x = 156,450.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.