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Finding the Third Proportional to 12,738.94 and 27,025.31

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Solution

The third proportional to 12,738.94 and 27,025.31 is: 57,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738.94 : 27,025.31 = 27,025.31 : x
  2. Step 2: Convert to fraction form
    12,738.94/27,025.31 = 27,025.31/x
  3. Step 3: Cross multiply
    12,738.94x = 27,025.31 × 27,025.31
  4. Step 4: Simplify right side
    12,738.94x = 730,367,515.72
  5. Step 5: Solve for x
    x = 730,367,515.72/12,738.94
  6. Step 6: Final answer
    x = 57,333.47

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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.