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Finding the Third Proportional to 3,862.69 and 8,433.49

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Solution

The third proportional to 3,862.69 and 8,433.49 is: 18,413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.69 : 8,433.49 = 8,433.49 : x
  2. Step 2: Convert to fraction form
    3,862.69/8,433.49 = 8,433.49/x
  3. Step 3: Cross multiply
    3,862.69x = 8,433.49 × 8,433.49
  4. Step 4: Simplify right side
    3,862.69x = 71,123,790.48
  5. Step 5: Solve for x
    x = 71,123,790.48/3,862.69
  6. Step 6: Final answer
    x = 18,413.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.