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Finding the Third Proportional to 27,234 and 57,828

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Solution

The third proportional to 27,234 and 57,828 is: 122,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234 : 57,828 = 57,828 : x
  2. Step 2: Convert to fraction form
    27,234/57,828 = 57,828/x
  3. Step 3: Cross multiply
    27,234x = 57,828 × 57,828
  4. Step 4: Simplify right side
    27,234x = 3,344,077,584
  5. Step 5: Solve for x
    x = 3,344,077,584/27,234
  6. Step 6: Final answer
    x = 122,790.54

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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.