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Finding the Third Proportional to 33,672 and 70,894

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Solution

The third proportional to 33,672 and 70,894 is: 149,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,672 : 70,894 = 70,894 : x
  2. Step 2: Convert to fraction form
    33,672/70,894 = 70,894/x
  3. Step 3: Cross multiply
    33,672x = 70,894 × 70,894
  4. Step 4: Simplify right side
    33,672x = 5,025,959,236
  5. Step 5: Solve for x
    x = 5,025,959,236/33,672
  6. Step 6: Final answer
    x = 149,262.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.