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Finding the Third Proportional to 33,205.50 and 71,657

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Solution

The third proportional to 33,205.50 and 71,657 is: 154,634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.50 : 71,657 = 71,657 : x
  2. Step 2: Convert to fraction form
    33,205.50/71,657 = 71,657/x
  3. Step 3: Cross multiply
    33,205.50x = 71,657 × 71,657
  4. Step 4: Simplify right side
    33,205.50x = 5,134,725,649
  5. Step 5: Solve for x
    x = 5,134,725,649/33,205.50
  6. Step 6: Final answer
    x = 154,634.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.