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Finding the Third Proportional to 27,891 and 57,141

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Solution

The third proportional to 27,891 and 57,141 is: 117,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891 : 57,141 = 57,141 : x
  2. Step 2: Convert to fraction form
    27,891/57,141 = 57,141/x
  3. Step 3: Cross multiply
    27,891x = 57,141 × 57,141
  4. Step 4: Simplify right side
    27,891x = 3,265,093,881
  5. Step 5: Solve for x
    x = 3,265,093,881/27,891
  6. Step 6: Final answer
    x = 117,066.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.