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Finding the Third Proportional to 6,876 and 7,900

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Solution

The third proportional to 6,876 and 7,900 is: 9,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876 : 7,900 = 7,900 : x
  2. Step 2: Convert to fraction form
    6,876/7,900 = 7,900/x
  3. Step 3: Cross multiply
    6,876x = 7,900 × 7,900
  4. Step 4: Simplify right side
    6,876x = 62,410,000
  5. Step 5: Solve for x
    x = 62,410,000/6,876
  6. Step 6: Final answer
    x = 9,076.50

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.