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Finding the Third Proportional to 12,664.50 and 27,759

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Solution

The third proportional to 12,664.50 and 27,759 is: 60,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.50 : 27,759 = 27,759 : x
  2. Step 2: Convert to fraction form
    12,664.50/27,759 = 27,759/x
  3. Step 3: Cross multiply
    12,664.50x = 27,759 × 27,759
  4. Step 4: Simplify right side
    12,664.50x = 770,562,081
  5. Step 5: Solve for x
    x = 770,562,081/12,664.50
  6. Step 6: Final answer
    x = 60,844.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.