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Finding the Third Proportional to 33,197 and 71,677

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Solution

The third proportional to 33,197 and 71,677 is: 154,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,197 : 71,677 = 71,677 : x
  2. Step 2: Convert to fraction form
    33,197/71,677 = 71,677/x
  3. Step 3: Cross multiply
    33,197x = 71,677 × 71,677
  4. Step 4: Simplify right side
    33,197x = 5,137,592,329
  5. Step 5: Solve for x
    x = 5,137,592,329/33,197
  6. Step 6: Final answer
    x = 154,760.74

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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.