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Finding the Third Proportional to 26,869 and 55,096

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Solution

The third proportional to 26,869 and 55,096 is: 112,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,869 : 55,096 = 55,096 : x
  2. Step 2: Convert to fraction form
    26,869/55,096 = 55,096/x
  3. Step 3: Cross multiply
    26,869x = 55,096 × 55,096
  4. Step 4: Simplify right side
    26,869x = 3,035,569,216
  5. Step 5: Solve for x
    x = 3,035,569,216/26,869
  6. Step 6: Final answer
    x = 112,976.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.