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Finding the Third Proportional to 13,104 and 17,704

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Solution

The third proportional to 13,104 and 17,704 is: 23,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104 : 17,704 = 17,704 : x
  2. Step 2: Convert to fraction form
    13,104/17,704 = 17,704/x
  3. Step 3: Cross multiply
    13,104x = 17,704 × 17,704
  4. Step 4: Simplify right side
    13,104x = 313,431,616
  5. Step 5: Solve for x
    x = 313,431,616/13,104
  6. Step 6: Final answer
    x = 23,918.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.