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Finding the Third Proportional to 1,604.25 and 3,413.25

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Solution

The third proportional to 1,604.25 and 3,413.25 is: 7,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.25 : 3,413.25 = 3,413.25 : x
  2. Step 2: Convert to fraction form
    1,604.25/3,413.25 = 3,413.25/x
  3. Step 3: Cross multiply
    1,604.25x = 3,413.25 × 3,413.25
  4. Step 4: Simplify right side
    1,604.25x = 11,650,275.56
  5. Step 5: Solve for x
    x = 11,650,275.56/1,604.25
  6. Step 6: Final answer
    x = 7,262.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.