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Finding the Third Proportional to 7,738 and 16,474

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Solution

The third proportional to 7,738 and 16,474 is: 35,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738 : 16,474 = 16,474 : x
  2. Step 2: Convert to fraction form
    7,738/16,474 = 16,474/x
  3. Step 3: Cross multiply
    7,738x = 16,474 × 16,474
  4. Step 4: Simplify right side
    7,738x = 271,392,676
  5. Step 5: Solve for x
    x = 271,392,676/7,738
  6. Step 6: Final answer
    x = 35,072.72

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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.