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Finding the Third Proportional to 3,413.63 and 5,573.25

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Solution

The third proportional to 3,413.63 and 5,573.25 is: 9,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.63 : 5,573.25 = 5,573.25 : x
  2. Step 2: Convert to fraction form
    3,413.63/5,573.25 = 5,573.25/x
  3. Step 3: Cross multiply
    3,413.63x = 5,573.25 × 5,573.25
  4. Step 4: Simplify right side
    3,413.63x = 31,061,115.56
  5. Step 5: Solve for x
    x = 31,061,115.56/3,413.63
  6. Step 6: Final answer
    x = 9,099.16

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.