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Finding the Third Proportional to 7,832 and 17,876

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Solution

The third proportional to 7,832 and 17,876 is: 40,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832 : 17,876 = 17,876 : x
  2. Step 2: Convert to fraction form
    7,832/17,876 = 17,876/x
  3. Step 3: Cross multiply
    7,832x = 17,876 × 17,876
  4. Step 4: Simplify right side
    7,832x = 319,551,376
  5. Step 5: Solve for x
    x = 319,551,376/7,832
  6. Step 6: Final answer
    x = 40,800.74

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.