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Finding the Third Proportional to 13,013 and 27,647

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Solution

The third proportional to 13,013 and 27,647 is: 58,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013 : 27,647 = 27,647 : x
  2. Step 2: Convert to fraction form
    13,013/27,647 = 27,647/x
  3. Step 3: Cross multiply
    13,013x = 27,647 × 27,647
  4. Step 4: Simplify right side
    13,013x = 764,356,609
  5. Step 5: Solve for x
    x = 764,356,609/13,013
  6. Step 6: Final answer
    x = 58,737.92

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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.