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Finding the Third Proportional to 3,413.50 and 4,021

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Solution

The third proportional to 3,413.50 and 4,021 is: 4,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.50 : 4,021 = 4,021 : x
  2. Step 2: Convert to fraction form
    3,413.50/4,021 = 4,021/x
  3. Step 3: Cross multiply
    3,413.50x = 4,021 × 4,021
  4. Step 4: Simplify right side
    3,413.50x = 16,168,441
  5. Step 5: Solve for x
    x = 16,168,441/3,413.50
  6. Step 6: Final answer
    x = 4,736.62

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.