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Finding the Third Proportional to 27,131 and 55,886

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Solution

The third proportional to 27,131 and 55,886 is: 115,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,131 : 55,886 = 55,886 : x
  2. Step 2: Convert to fraction form
    27,131/55,886 = 55,886/x
  3. Step 3: Cross multiply
    27,131x = 55,886 × 55,886
  4. Step 4: Simplify right side
    27,131x = 3,123,244,996
  5. Step 5: Solve for x
    x = 3,123,244,996/27,131
  6. Step 6: Final answer
    x = 115,117.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.