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Finding the Third Proportional to 7,183.69 and 17,579.53

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Solution

The third proportional to 7,183.69 and 17,579.53 is: 43,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.69 : 17,579.53 = 17,579.53 : x
  2. Step 2: Convert to fraction form
    7,183.69/17,579.53 = 17,579.53/x
  3. Step 3: Cross multiply
    7,183.69x = 17,579.53 × 17,579.53
  4. Step 4: Simplify right side
    7,183.69x = 309,039,918.97
  5. Step 5: Solve for x
    x = 309,039,918.97/7,183.69
  6. Step 6: Final answer
    x = 43,019.68

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.