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Finding the Third Proportional to 33,658 and 70,866

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Solution

The third proportional to 33,658 and 70,866 is: 149,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,658 : 70,866 = 70,866 : x
  2. Step 2: Convert to fraction form
    33,658/70,866 = 70,866/x
  3. Step 3: Cross multiply
    33,658x = 70,866 × 70,866
  4. Step 4: Simplify right side
    33,658x = 5,021,989,956
  5. Step 5: Solve for x
    x = 5,021,989,956/33,658
  6. Step 6: Final answer
    x = 149,206.43

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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.