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Finding the Third Proportional to 6,517 and 7,123

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Solution

The third proportional to 6,517 and 7,123 is: 7,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517 : 7,123 = 7,123 : x
  2. Step 2: Convert to fraction form
    6,517/7,123 = 7,123/x
  3. Step 3: Cross multiply
    6,517x = 7,123 × 7,123
  4. Step 4: Simplify right side
    6,517x = 50,737,129
  5. Step 5: Solve for x
    x = 50,737,129/6,517
  6. Step 6: Final answer
    x = 7,785.35

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.