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Finding the Third Proportional to 4,143 and 5,413.50

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Solution

The third proportional to 4,143 and 5,413.50 is: 7,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143 : 5,413.50 = 5,413.50 : x
  2. Step 2: Convert to fraction form
    4,143/5,413.50 = 5,413.50/x
  3. Step 3: Cross multiply
    4,143x = 5,413.50 × 5,413.50
  4. Step 4: Simplify right side
    4,143x = 29,305,982.25
  5. Step 5: Solve for x
    x = 29,305,982.25/4,143
  6. Step 6: Final answer
    x = 7,073.61

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.