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Finding the Third Proportional to 27,479 and 58,845

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Solution

The third proportional to 27,479 and 58,845 is: 126,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,479 : 58,845 = 58,845 : x
  2. Step 2: Convert to fraction form
    27,479/58,845 = 58,845/x
  3. Step 3: Cross multiply
    27,479x = 58,845 × 58,845
  4. Step 4: Simplify right side
    27,479x = 3,462,734,025
  5. Step 5: Solve for x
    x = 3,462,734,025/27,479
  6. Step 6: Final answer
    x = 126,013.83

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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.