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Finding the Third Proportional to 27,112 and 57,680

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Solution

The third proportional to 27,112 and 57,680 is: 122,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,112 : 57,680 = 57,680 : x
  2. Step 2: Convert to fraction form
    27,112/57,680 = 57,680/x
  3. Step 3: Cross multiply
    27,112x = 57,680 × 57,680
  4. Step 4: Simplify right side
    27,112x = 3,326,982,400
  5. Step 5: Solve for x
    x = 3,326,982,400/27,112
  6. Step 6: Final answer
    x = 122,712.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.