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Finding the Third Proportional to 27,273 and 58,839

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Solution

The third proportional to 27,273 and 58,839 is: 126,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,273 : 58,839 = 58,839 : x
  2. Step 2: Convert to fraction form
    27,273/58,839 = 58,839/x
  3. Step 3: Cross multiply
    27,273x = 58,839 × 58,839
  4. Step 4: Simplify right side
    27,273x = 3,462,027,921
  5. Step 5: Solve for x
    x = 3,462,027,921/27,273
  6. Step 6: Final answer
    x = 126,939.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.