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Finding the Third Proportional to 7,096 and 8,689

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Solution

The third proportional to 7,096 and 8,689 is: 10,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096 : 8,689 = 8,689 : x
  2. Step 2: Convert to fraction form
    7,096/8,689 = 8,689/x
  3. Step 3: Cross multiply
    7,096x = 8,689 × 8,689
  4. Step 4: Simplify right side
    7,096x = 75,498,721
  5. Step 5: Solve for x
    x = 75,498,721/7,096
  6. Step 6: Final answer
    x = 10,639.62

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.