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Finding the Third Proportional to 18,083.25 and 26,418.38

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Solution

The third proportional to 18,083.25 and 26,418.38 is: 38,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,083.25 : 26,418.38 = 26,418.38 : x
  2. Step 2: Convert to fraction form
    18,083.25/26,418.38 = 26,418.38/x
  3. Step 3: Cross multiply
    18,083.25x = 26,418.38 × 26,418.38
  4. Step 4: Simplify right side
    18,083.25x = 697,930,537.64
  5. Step 5: Solve for x
    x = 697,930,537.64/18,083.25
  6. Step 6: Final answer
    x = 38,595.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.