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Finding the Third Proportional to 3,489 and 4,413.50

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Solution

The third proportional to 3,489 and 4,413.50 is: 5,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489 : 4,413.50 = 4,413.50 : x
  2. Step 2: Convert to fraction form
    3,489/4,413.50 = 4,413.50/x
  3. Step 3: Cross multiply
    3,489x = 4,413.50 × 4,413.50
  4. Step 4: Simplify right side
    3,489x = 19,478,982.25
  5. Step 5: Solve for x
    x = 19,478,982.25/3,489
  6. Step 6: Final answer
    x = 5,582.97

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.