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Finding the Third Proportional to 27,825 and 41,976

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Solution

The third proportional to 27,825 and 41,976 is: 63,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825 : 41,976 = 41,976 : x
  2. Step 2: Convert to fraction form
    27,825/41,976 = 41,976/x
  3. Step 3: Cross multiply
    27,825x = 41,976 × 41,976
  4. Step 4: Simplify right side
    27,825x = 1,761,984,576
  5. Step 5: Solve for x
    x = 1,761,984,576/27,825
  6. Step 6: Final answer
    x = 63,323.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.