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Finding the Third Proportional to 27,475 and 58,839

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Solution

The third proportional to 27,475 and 58,839 is: 126,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,475 : 58,839 = 58,839 : x
  2. Step 2: Convert to fraction form
    27,475/58,839 = 58,839/x
  3. Step 3: Cross multiply
    27,475x = 58,839 × 58,839
  4. Step 4: Simplify right side
    27,475x = 3,462,027,921
  5. Step 5: Solve for x
    x = 3,462,027,921/27,475
  6. Step 6: Final answer
    x = 126,006.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.