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Finding the Third Proportional to 13,213.91 and 27,725.28

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Solution

The third proportional to 13,213.91 and 27,725.28 is: 58,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.91 : 27,725.28 = 27,725.28 : x
  2. Step 2: Convert to fraction form
    13,213.91/27,725.28 = 27,725.28/x
  3. Step 3: Cross multiply
    13,213.91x = 27,725.28 × 27,725.28
  4. Step 4: Simplify right side
    13,213.91x = 768,691,220.39
  5. Step 5: Solve for x
    x = 768,691,220.39/13,213.91
  6. Step 6: Final answer
    x = 58,172.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.