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Finding the Third Proportional to 6,647.06 and 13,982.63

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Solution

The third proportional to 6,647.06 and 13,982.63 is: 29,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.06 : 13,982.63 = 13,982.63 : x
  2. Step 2: Convert to fraction form
    6,647.06/13,982.63 = 13,982.63/x
  3. Step 3: Cross multiply
    6,647.06x = 13,982.63 × 13,982.63
  4. Step 4: Simplify right side
    6,647.06x = 195,513,801.89
  5. Step 5: Solve for x
    x = 195,513,801.89/6,647.06
  6. Step 6: Final answer
    x = 29,413.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.