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Finding the Third Proportional to 3,642.47 and 5,535.84

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Solution

The third proportional to 3,642.47 and 5,535.84 is: 8,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.47 : 5,535.84 = 5,535.84 : x
  2. Step 2: Convert to fraction form
    3,642.47/5,535.84 = 5,535.84/x
  3. Step 3: Cross multiply
    3,642.47x = 5,535.84 × 5,535.84
  4. Step 4: Simplify right side
    3,642.47x = 30,645,566.02
  5. Step 5: Solve for x
    x = 30,645,566.02/3,642.47
  6. Step 6: Final answer
    x = 8,413.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.