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Finding the Third Proportional to 7,869 and 9,616

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Solution

The third proportional to 7,869 and 9,616 is: 11,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869 : 9,616 = 9,616 : x
  2. Step 2: Convert to fraction form
    7,869/9,616 = 9,616/x
  3. Step 3: Cross multiply
    7,869x = 9,616 × 9,616
  4. Step 4: Simplify right side
    7,869x = 92,467,456
  5. Step 5: Solve for x
    x = 92,467,456/7,869
  6. Step 6: Final answer
    x = 11,750.85

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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.