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Finding the Third Proportional to 17,942.75 and 38,627.38

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Solution

The third proportional to 17,942.75 and 38,627.38 is: 83,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,942.75 : 38,627.38 = 38,627.38 : x
  2. Step 2: Convert to fraction form
    17,942.75/38,627.38 = 38,627.38/x
  3. Step 3: Cross multiply
    17,942.75x = 38,627.38 × 38,627.38
  4. Step 4: Simplify right side
    17,942.75x = 1,492,074,099.39
  5. Step 5: Solve for x
    x = 1,492,074,099.39/17,942.75
  6. Step 6: Final answer
    x = 83,157.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.