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Finding the Third Proportional to 13,504 and 17,976

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Solution

The third proportional to 13,504 and 17,976 is: 23,928.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504 : 17,976 = 17,976 : x
  2. Step 2: Convert to fraction form
    13,504/17,976 = 17,976/x
  3. Step 3: Cross multiply
    13,504x = 17,976 × 17,976
  4. Step 4: Simplify right side
    13,504x = 323,136,576
  5. Step 5: Solve for x
    x = 323,136,576/13,504
  6. Step 6: Final answer
    x = 23,928.95

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.