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Finding the Third Proportional to 1,413.15 and 2,078.79

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Solution

The third proportional to 1,413.15 and 2,078.79 is: 3,057.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.15 : 2,078.79 = 2,078.79 : x
  2. Step 2: Convert to fraction form
    1,413.15/2,078.79 = 2,078.79/x
  3. Step 3: Cross multiply
    1,413.15x = 2,078.79 × 2,078.79
  4. Step 4: Simplify right side
    1,413.15x = 4,321,363.97
  5. Step 5: Solve for x
    x = 4,321,363.97/1,413.15
  6. Step 6: Final answer
    x = 3,057.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.