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Finding the Third Proportional to 13,126 and 27,734

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Solution

The third proportional to 13,126 and 27,734 is: 58,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,126 : 27,734 = 27,734 : x
  2. Step 2: Convert to fraction form
    13,126/27,734 = 27,734/x
  3. Step 3: Cross multiply
    13,126x = 27,734 × 27,734
  4. Step 4: Simplify right side
    13,126x = 769,174,756
  5. Step 5: Solve for x
    x = 769,174,756/13,126
  6. Step 6: Final answer
    x = 58,599.33

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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.