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Finding the Third Proportional to 13,616 and 27,962

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Solution

The third proportional to 13,616 and 27,962 is: 57,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616 : 27,962 = 27,962 : x
  2. Step 2: Convert to fraction form
    13,616/27,962 = 27,962/x
  3. Step 3: Cross multiply
    13,616x = 27,962 × 27,962
  4. Step 4: Simplify right side
    13,616x = 781,873,444
  5. Step 5: Solve for x
    x = 781,873,444/13,616
  6. Step 6: Final answer
    x = 57,423.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.