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Finding the Third Proportional to 3,413.81 and 5,135.06

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Solution

The third proportional to 3,413.81 and 5,135.06 is: 7,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.81 : 5,135.06 = 5,135.06 : x
  2. Step 2: Convert to fraction form
    3,413.81/5,135.06 = 5,135.06/x
  3. Step 3: Cross multiply
    3,413.81x = 5,135.06 × 5,135.06
  4. Step 4: Simplify right side
    3,413.81x = 26,368,866.88
  5. Step 5: Solve for x
    x = 26,368,866.88/3,413.81
  6. Step 6: Final answer
    x = 7,724.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.