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Finding the Third Proportional to 5,104.69 and 6,266.53

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Solution

The third proportional to 5,104.69 and 6,266.53 is: 7,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.69 : 6,266.53 = 6,266.53 : x
  2. Step 2: Convert to fraction form
    5,104.69/6,266.53 = 6,266.53/x
  3. Step 3: Cross multiply
    5,104.69x = 6,266.53 × 6,266.53
  4. Step 4: Simplify right side
    5,104.69x = 39,269,413.91
  5. Step 5: Solve for x
    x = 39,269,413.91/5,104.69
  6. Step 6: Final answer
    x = 7,692.81

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.