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Finding the Third Proportional to 25,758 and 54,891

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Solution

The third proportional to 25,758 and 54,891 is: 116,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758 : 54,891 = 54,891 : x
  2. Step 2: Convert to fraction form
    25,758/54,891 = 54,891/x
  3. Step 3: Cross multiply
    25,758x = 54,891 × 54,891
  4. Step 4: Simplify right side
    25,758x = 3,013,021,881
  5. Step 5: Solve for x
    x = 3,013,021,881/25,758
  6. Step 6: Final answer
    x = 116,974.22

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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.