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Finding the Third Proportional to 27,636 and 58,886

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Solution

The third proportional to 27,636 and 58,886 is: 125,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,636 : 58,886 = 58,886 : x
  2. Step 2: Convert to fraction form
    27,636/58,886 = 58,886/x
  3. Step 3: Cross multiply
    27,636x = 58,886 × 58,886
  4. Step 4: Simplify right side
    27,636x = 3,467,560,996
  5. Step 5: Solve for x
    x = 3,467,560,996/27,636
  6. Step 6: Final answer
    x = 125,472.61

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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.