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Finding the Third Proportional to 26,256 and 39,869.25

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Solution

The third proportional to 26,256 and 39,869.25 is: 60,540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,256 : 39,869.25 = 39,869.25 : x
  2. Step 2: Convert to fraction form
    26,256/39,869.25 = 39,869.25/x
  3. Step 3: Cross multiply
    26,256x = 39,869.25 × 39,869.25
  4. Step 4: Simplify right side
    26,256x = 1,589,557,095.56
  5. Step 5: Solve for x
    x = 1,589,557,095.56/26,256
  6. Step 6: Final answer
    x = 60,540.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.