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Finding the Third Proportional to 3,169.44 and 4,233.04

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Solution

The third proportional to 3,169.44 and 4,233.04 is: 5,653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.44 : 4,233.04 = 4,233.04 : x
  2. Step 2: Convert to fraction form
    3,169.44/4,233.04 = 4,233.04/x
  3. Step 3: Cross multiply
    3,169.44x = 4,233.04 × 4,233.04
  4. Step 4: Simplify right side
    3,169.44x = 17,918,636.24
  5. Step 5: Solve for x
    x = 17,918,636.24/3,169.44
  6. Step 6: Final answer
    x = 5,653.56

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.