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Finding the Third Proportional to 26,183.25 and 38,910.38

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Solution

The third proportional to 26,183.25 and 38,910.38 is: 57,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,183.25 : 38,910.38 = 38,910.38 : x
  2. Step 2: Convert to fraction form
    26,183.25/38,910.38 = 38,910.38/x
  3. Step 3: Cross multiply
    26,183.25x = 38,910.38 × 38,910.38
  4. Step 4: Simplify right side
    26,183.25x = 1,514,017,282.64
  5. Step 5: Solve for x
    x = 1,514,017,282.64/26,183.25
  6. Step 6: Final answer
    x = 57,823.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.