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Finding the Third Proportional to 3,102.75 and 6,413.63

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Solution

The third proportional to 3,102.75 and 6,413.63 is: 13,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.75 : 6,413.63 = 6,413.63 : x
  2. Step 2: Convert to fraction form
    3,102.75/6,413.63 = 6,413.63/x
  3. Step 3: Cross multiply
    3,102.75x = 6,413.63 × 6,413.63
  4. Step 4: Simplify right side
    3,102.75x = 41,134,585.64
  5. Step 5: Solve for x
    x = 41,134,585.64/3,102.75
  6. Step 6: Final answer
    x = 13,257.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.