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Finding the Third Proportional to 2,413.97 and 4,757.06

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Solution

The third proportional to 2,413.97 and 4,757.06 is: 9,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.97 : 4,757.06 = 4,757.06 : x
  2. Step 2: Convert to fraction form
    2,413.97/4,757.06 = 4,757.06/x
  3. Step 3: Cross multiply
    2,413.97x = 4,757.06 × 4,757.06
  4. Step 4: Simplify right side
    2,413.97x = 22,629,643.63
  5. Step 5: Solve for x
    x = 22,629,643.63/2,413.97
  6. Step 6: Final answer
    x = 9,374.46

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.