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Finding the Third Proportional to 27,530 and 57,110

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Solution

The third proportional to 27,530 and 57,110 is: 118,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,530 : 57,110 = 57,110 : x
  2. Step 2: Convert to fraction form
    27,530/57,110 = 57,110/x
  3. Step 3: Cross multiply
    27,530x = 57,110 × 57,110
  4. Step 4: Simplify right side
    27,530x = 3,261,552,100
  5. Step 5: Solve for x
    x = 3,261,552,100/27,530
  6. Step 6: Final answer
    x = 118,472.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.