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Finding the Third Proportional to 6,413.25 and 9,619.75

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Solution

The third proportional to 6,413.25 and 9,619.75 is: 14,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.25 : 9,619.75 = 9,619.75 : x
  2. Step 2: Convert to fraction form
    6,413.25/9,619.75 = 9,619.75/x
  3. Step 3: Cross multiply
    6,413.25x = 9,619.75 × 9,619.75
  4. Step 4: Simplify right side
    6,413.25x = 92,539,590.06
  5. Step 5: Solve for x
    x = 92,539,590.06/6,413.25
  6. Step 6: Final answer
    x = 14,429.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.