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Finding the Third Proportional to 1,413.24 and 2,077.51

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Solution

The third proportional to 1,413.24 and 2,077.51 is: 3,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.24 : 2,077.51 = 2,077.51 : x
  2. Step 2: Convert to fraction form
    1,413.24/2,077.51 = 2,077.51/x
  3. Step 3: Cross multiply
    1,413.24x = 2,077.51 × 2,077.51
  4. Step 4: Simplify right side
    1,413.24x = 4,316,067.11
  5. Step 5: Solve for x
    x = 4,316,067.11/1,413.24
  6. Step 6: Final answer
    x = 3,054.03

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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.