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Finding the Third Proportional to 1,413.91 and 3,055.43

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Solution

The third proportional to 1,413.91 and 3,055.43 is: 6,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.91 : 3,055.43 = 3,055.43 : x
  2. Step 2: Convert to fraction form
    1,413.91/3,055.43 = 3,055.43/x
  3. Step 3: Cross multiply
    1,413.91x = 3,055.43 × 3,055.43
  4. Step 4: Simplify right side
    1,413.91x = 9,335,650.58
  5. Step 5: Solve for x
    x = 9,335,650.58/1,413.91
  6. Step 6: Final answer
    x = 6,602.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.