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Finding the Third Proportional to 7,884 and 9,096

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Solution

The third proportional to 7,884 and 9,096 is: 10,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884 : 9,096 = 9,096 : x
  2. Step 2: Convert to fraction form
    7,884/9,096 = 9,096/x
  3. Step 3: Cross multiply
    7,884x = 9,096 × 9,096
  4. Step 4: Simplify right side
    7,884x = 82,737,216
  5. Step 5: Solve for x
    x = 82,737,216/7,884
  6. Step 6: Final answer
    x = 10,494.32

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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.