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Finding the Third Proportional to 27,224 and 55,912

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Solution

The third proportional to 27,224 and 55,912 is: 114,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224 : 55,912 = 55,912 : x
  2. Step 2: Convert to fraction form
    27,224/55,912 = 55,912/x
  3. Step 3: Cross multiply
    27,224x = 55,912 × 55,912
  4. Step 4: Simplify right side
    27,224x = 3,126,151,744
  5. Step 5: Solve for x
    x = 3,126,151,744/27,224
  6. Step 6: Final answer
    x = 114,830.73

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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.