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Finding the Third Proportional to 27,189 and 57,645

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Solution

The third proportional to 27,189 and 57,645 is: 122,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,189 : 57,645 = 57,645 : x
  2. Step 2: Convert to fraction form
    27,189/57,645 = 57,645/x
  3. Step 3: Cross multiply
    27,189x = 57,645 × 57,645
  4. Step 4: Simplify right side
    27,189x = 3,322,946,025
  5. Step 5: Solve for x
    x = 3,322,946,025/27,189
  6. Step 6: Final answer
    x = 122,216.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.