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Finding the Third Proportional to 13,203 and 27,891

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Solution

The third proportional to 13,203 and 27,891 is: 58,919.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203 : 27,891 = 27,891 : x
  2. Step 2: Convert to fraction form
    13,203/27,891 = 27,891/x
  3. Step 3: Cross multiply
    13,203x = 27,891 × 27,891
  4. Step 4: Simplify right side
    13,203x = 777,907,881
  5. Step 5: Solve for x
    x = 777,907,881/13,203
  6. Step 6: Final answer
    x = 58,919.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.