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Finding the Third Proportional to 25,078 and 51,744

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Solution

The third proportional to 25,078 and 51,744 is: 106,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,078 : 51,744 = 51,744 : x
  2. Step 2: Convert to fraction form
    25,078/51,744 = 51,744/x
  3. Step 3: Cross multiply
    25,078x = 51,744 × 51,744
  4. Step 4: Simplify right side
    25,078x = 2,677,441,536
  5. Step 5: Solve for x
    x = 2,677,441,536/25,078
  6. Step 6: Final answer
    x = 106,764.56

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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.