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Finding the Third Proportional to 17,738.44 and 37,824.19

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Solution

The third proportional to 17,738.44 and 37,824.19 is: 80,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.44 : 37,824.19 = 37,824.19 : x
  2. Step 2: Convert to fraction form
    17,738.44/37,824.19 = 37,824.19/x
  3. Step 3: Cross multiply
    17,738.44x = 37,824.19 × 37,824.19
  4. Step 4: Simplify right side
    17,738.44x = 1,430,669,160.04
  5. Step 5: Solve for x
    x = 1,430,669,160.04/17,738.44
  6. Step 6: Final answer
    x = 80,653.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.