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Finding the Third Proportional to 26,858.25 and 39,467.25

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Solution

The third proportional to 26,858.25 and 39,467.25 is: 57,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,858.25 : 39,467.25 = 39,467.25 : x
  2. Step 2: Convert to fraction form
    26,858.25/39,467.25 = 39,467.25/x
  3. Step 3: Cross multiply
    26,858.25x = 39,467.25 × 39,467.25
  4. Step 4: Simplify right side
    26,858.25x = 1,557,663,822.56
  5. Step 5: Solve for x
    x = 1,557,663,822.56/26,858.25
  6. Step 6: Final answer
    x = 57,995.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.