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Finding the Third Proportional to 2,043.37 and 4,413.51

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Solution

The third proportional to 2,043.37 and 4,413.51 is: 9,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.37 : 4,413.51 = 4,413.51 : x
  2. Step 2: Convert to fraction form
    2,043.37/4,413.51 = 4,413.51/x
  3. Step 3: Cross multiply
    2,043.37x = 4,413.51 × 4,413.51
  4. Step 4: Simplify right side
    2,043.37x = 19,479,081.38
  5. Step 5: Solve for x
    x = 19,479,081.38/2,043.37
  6. Step 6: Final answer
    x = 9,532.82

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Why These Related Problems?

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