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Finding the Third Proportional to 3,413.81 and 5,298.75

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Solution

The third proportional to 3,413.81 and 5,298.75 is: 8,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.81 : 5,298.75 = 5,298.75 : x
  2. Step 2: Convert to fraction form
    3,413.81/5,298.75 = 5,298.75/x
  3. Step 3: Cross multiply
    3,413.81x = 5,298.75 × 5,298.75
  4. Step 4: Simplify right side
    3,413.81x = 28,076,751.56
  5. Step 5: Solve for x
    x = 28,076,751.56/3,413.81
  6. Step 6: Final answer
    x = 8,224.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.