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Finding the Third Proportional to 12,025.97 and 26,375.63

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Solution

The third proportional to 12,025.97 and 26,375.63 is: 57,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.97 : 26,375.63 = 26,375.63 : x
  2. Step 2: Convert to fraction form
    12,025.97/26,375.63 = 26,375.63/x
  3. Step 3: Cross multiply
    12,025.97x = 26,375.63 × 26,375.63
  4. Step 4: Simplify right side
    12,025.97x = 695,673,594.14
  5. Step 5: Solve for x
    x = 695,673,594.14/12,025.97
  6. Step 6: Final answer
    x = 57,847.61

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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.