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Finding the Third Proportional to 26,786.25 and 43,014.38

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Solution

The third proportional to 26,786.25 and 43,014.38 is: 69,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,786.25 : 43,014.38 = 43,014.38 : x
  2. Step 2: Convert to fraction form
    26,786.25/43,014.38 = 43,014.38/x
  3. Step 3: Cross multiply
    26,786.25x = 43,014.38 × 43,014.38
  4. Step 4: Simplify right side
    26,786.25x = 1,850,236,456.64
  5. Step 5: Solve for x
    x = 1,850,236,456.64/26,786.25
  6. Step 6: Final answer
    x = 69,074.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.