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Finding the Third Proportional to 4,413.94 and 9,187.31

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Solution

The third proportional to 4,413.94 and 9,187.31 is: 19,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.94 : 9,187.31 = 9,187.31 : x
  2. Step 2: Convert to fraction form
    4,413.94/9,187.31 = 9,187.31/x
  3. Step 3: Cross multiply
    4,413.94x = 9,187.31 × 9,187.31
  4. Step 4: Simplify right side
    4,413.94x = 84,406,710.97
  5. Step 5: Solve for x
    x = 84,406,710.97/4,413.94
  6. Step 6: Final answer
    x = 19,122.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.