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Finding the Third Proportional to 33,638 and 71,594

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Solution

The third proportional to 33,638 and 71,594 is: 152,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638 : 71,594 = 71,594 : x
  2. Step 2: Convert to fraction form
    33,638/71,594 = 71,594/x
  3. Step 3: Cross multiply
    33,638x = 71,594 × 71,594
  4. Step 4: Simplify right side
    33,638x = 5,125,700,836
  5. Step 5: Solve for x
    x = 5,125,700,836/33,638
  6. Step 6: Final answer
    x = 152,378.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.