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Finding the Third Proportional to 3,413.81 and 4,563.84

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Solution

The third proportional to 3,413.81 and 4,563.84 is: 6,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.81 : 4,563.84 = 4,563.84 : x
  2. Step 2: Convert to fraction form
    3,413.81/4,563.84 = 4,563.84/x
  3. Step 3: Cross multiply
    3,413.81x = 4,563.84 × 4,563.84
  4. Step 4: Simplify right side
    3,413.81x = 20,828,669.77
  5. Step 5: Solve for x
    x = 20,828,669.77/3,413.81
  6. Step 6: Final answer
    x = 6,101.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.