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Finding the Third Proportional to 17,728 and 26,976

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Solution

The third proportional to 17,728 and 26,976 is: 41,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728 : 26,976 = 26,976 : x
  2. Step 2: Convert to fraction form
    17,728/26,976 = 26,976/x
  3. Step 3: Cross multiply
    17,728x = 26,976 × 26,976
  4. Step 4: Simplify right side
    17,728x = 727,704,576
  5. Step 5: Solve for x
    x = 727,704,576/17,728
  6. Step 6: Final answer
    x = 41,048.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.