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Finding the Third Proportional to 8,413.88 and 18,034.31

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Solution

The third proportional to 8,413.88 and 18,034.31 is: 38,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.88 : 18,034.31 = 18,034.31 : x
  2. Step 2: Convert to fraction form
    8,413.88/18,034.31 = 18,034.31/x
  3. Step 3: Cross multiply
    8,413.88x = 18,034.31 × 18,034.31
  4. Step 4: Simplify right side
    8,413.88x = 325,236,427.35
  5. Step 5: Solve for x
    x = 325,236,427.35/8,413.88
  6. Step 6: Final answer
    x = 38,654.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.