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Finding the Third Proportional to 23,728 and 36,104

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Solution

The third proportional to 23,728 and 36,104 is: 54,935.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728 : 36,104 = 36,104 : x
  2. Step 2: Convert to fraction form
    23,728/36,104 = 36,104/x
  3. Step 3: Cross multiply
    23,728x = 36,104 × 36,104
  4. Step 4: Simplify right side
    23,728x = 1,303,498,816
  5. Step 5: Solve for x
    x = 1,303,498,816/23,728
  6. Step 6: Final answer
    x = 54,935.05

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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.