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Finding the Third Proportional to 18,055 and 27,083

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Solution

The third proportional to 18,055 and 27,083 is: 40,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,055 : 27,083 = 27,083 : x
  2. Step 2: Convert to fraction form
    18,055/27,083 = 27,083/x
  3. Step 3: Cross multiply
    18,055x = 27,083 × 27,083
  4. Step 4: Simplify right side
    18,055x = 733,488,889
  5. Step 5: Solve for x
    x = 733,488,889/18,055
  6. Step 6: Final answer
    x = 40,625.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.