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Finding the Third Proportional to 27,001 and 55,081

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Solution

The third proportional to 27,001 and 55,081 is: 112,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,001 : 55,081 = 55,081 : x
  2. Step 2: Convert to fraction form
    27,001/55,081 = 55,081/x
  3. Step 3: Cross multiply
    27,001x = 55,081 × 55,081
  4. Step 4: Simplify right side
    27,001x = 3,033,916,561
  5. Step 5: Solve for x
    x = 3,033,916,561/27,001
  6. Step 6: Final answer
    x = 112,363.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.