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Finding the Third Proportional to 27,096 and 56,916

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Solution

The third proportional to 27,096 and 56,916 is: 119,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,096 : 56,916 = 56,916 : x
  2. Step 2: Convert to fraction form
    27,096/56,916 = 56,916/x
  3. Step 3: Cross multiply
    27,096x = 56,916 × 56,916
  4. Step 4: Simplify right side
    27,096x = 3,239,431,056
  5. Step 5: Solve for x
    x = 3,239,431,056/27,096
  6. Step 6: Final answer
    x = 119,553.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.