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Finding the Third Proportional to 13,794 and 21,855

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Solution

The third proportional to 13,794 and 21,855 is: 34,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794 : 21,855 = 21,855 : x
  2. Step 2: Convert to fraction form
    13,794/21,855 = 21,855/x
  3. Step 3: Cross multiply
    13,794x = 21,855 × 21,855
  4. Step 4: Simplify right side
    13,794x = 477,641,025
  5. Step 5: Solve for x
    x = 477,641,025/13,794
  6. Step 6: Final answer
    x = 34,626.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.