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Finding the Third Proportional to 13,104 and 27,764

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Solution

The third proportional to 13,104 and 27,764 is: 58,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104 : 27,764 = 27,764 : x
  2. Step 2: Convert to fraction form
    13,104/27,764 = 27,764/x
  3. Step 3: Cross multiply
    13,104x = 27,764 × 27,764
  4. Step 4: Simplify right side
    13,104x = 770,839,696
  5. Step 5: Solve for x
    x = 770,839,696/13,104
  6. Step 6: Final answer
    x = 58,824.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.