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Finding the Third Proportional to 27,189 and 57,348

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Solution

The third proportional to 27,189 and 57,348 is: 120,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,189 : 57,348 = 57,348 : x
  2. Step 2: Convert to fraction form
    27,189/57,348 = 57,348/x
  3. Step 3: Cross multiply
    27,189x = 57,348 × 57,348
  4. Step 4: Simplify right side
    27,189x = 3,288,793,104
  5. Step 5: Solve for x
    x = 3,288,793,104/27,189
  6. Step 6: Final answer
    x = 120,960.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.