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Finding the Third Proportional to 33,672 and 73,257

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Solution

The third proportional to 33,672 and 73,257 is: 159,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,672 : 73,257 = 73,257 : x
  2. Step 2: Convert to fraction form
    33,672/73,257 = 73,257/x
  3. Step 3: Cross multiply
    33,672x = 73,257 × 73,257
  4. Step 4: Simplify right side
    33,672x = 5,366,588,049
  5. Step 5: Solve for x
    x = 5,366,588,049/33,672
  6. Step 6: Final answer
    x = 159,378.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.