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Finding the Third Proportional to 4,413.23 and 6,185.11

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Solution

The third proportional to 4,413.23 and 6,185.11 is: 8,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.23 : 6,185.11 = 6,185.11 : x
  2. Step 2: Convert to fraction form
    4,413.23/6,185.11 = 6,185.11/x
  3. Step 3: Cross multiply
    4,413.23x = 6,185.11 × 6,185.11
  4. Step 4: Simplify right side
    4,413.23x = 38,255,577.98
  5. Step 5: Solve for x
    x = 38,255,577.98/4,413.23
  6. Step 6: Final answer
    x = 8,668.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.