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Finding the Third Proportional to 6,123 and 6,876

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Solution

The third proportional to 6,123 and 6,876 is: 7,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123 : 6,876 = 6,876 : x
  2. Step 2: Convert to fraction form
    6,123/6,876 = 6,876/x
  3. Step 3: Cross multiply
    6,123x = 6,876 × 6,876
  4. Step 4: Simplify right side
    6,123x = 47,279,376
  5. Step 5: Solve for x
    x = 47,279,376/6,123
  6. Step 6: Final answer
    x = 7,721.60

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.