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Finding the Third Proportional to 18,549 and 27,413.44

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Solution

The third proportional to 18,549 and 27,413.44 is: 40,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549 : 27,413.44 = 27,413.44 : x
  2. Step 2: Convert to fraction form
    18,549/27,413.44 = 27,413.44/x
  3. Step 3: Cross multiply
    18,549x = 27,413.44 × 27,413.44
  4. Step 4: Simplify right side
    18,549x = 751,496,555.57
  5. Step 5: Solve for x
    x = 751,496,555.57/18,549
  6. Step 6: Final answer
    x = 40,514.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.