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Finding the Third Proportional to 1,866.75 and 4,413.75

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Solution

The third proportional to 1,866.75 and 4,413.75 is: 10,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.75 : 4,413.75 = 4,413.75 : x
  2. Step 2: Convert to fraction form
    1,866.75/4,413.75 = 4,413.75/x
  3. Step 3: Cross multiply
    1,866.75x = 4,413.75 × 4,413.75
  4. Step 4: Simplify right side
    1,866.75x = 19,481,189.06
  5. Step 5: Solve for x
    x = 19,481,189.06/1,866.75
  6. Step 6: Final answer
    x = 10,435.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.