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Finding the Third Proportional to 6,413.63 and 13,784.63

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Solution

The third proportional to 6,413.63 and 13,784.63 is: 29,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.63 : 13,784.63 = 13,784.63 : x
  2. Step 2: Convert to fraction form
    6,413.63/13,784.63 = 13,784.63/x
  3. Step 3: Cross multiply
    6,413.63x = 13,784.63 × 13,784.63
  4. Step 4: Simplify right side
    6,413.63x = 190,015,886.39
  5. Step 5: Solve for x
    x = 190,015,886.39/6,413.63
  6. Step 6: Final answer
    x = 29,626.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.