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Finding the Third Proportional to 3,629.18 and 7,949.71

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Solution

The third proportional to 3,629.18 and 7,949.71 is: 17,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.18 : 7,949.71 = 7,949.71 : x
  2. Step 2: Convert to fraction form
    3,629.18/7,949.71 = 7,949.71/x
  3. Step 3: Cross multiply
    3,629.18x = 7,949.71 × 7,949.71
  4. Step 4: Simplify right side
    3,629.18x = 63,197,841.88
  5. Step 5: Solve for x
    x = 63,197,841.88/3,629.18
  6. Step 6: Final answer
    x = 17,413.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.