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Finding the Third Proportional to 8,069.63 and 17,413.88

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Solution

The third proportional to 8,069.63 and 17,413.88 is: 37,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.63 : 17,413.88 = 17,413.88 : x
  2. Step 2: Convert to fraction form
    8,069.63/17,413.88 = 17,413.88/x
  3. Step 3: Cross multiply
    8,069.63x = 17,413.88 × 17,413.88
  4. Step 4: Simplify right side
    8,069.63x = 303,243,042.52
  5. Step 5: Solve for x
    x = 303,243,042.52/8,069.63
  6. Step 6: Final answer
    x = 37,578.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.