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Finding the Third Proportional to 19,183.50 and 41,032

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Solution

The third proportional to 19,183.50 and 41,032 is: 87,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,183.50 : 41,032 = 41,032 : x
  2. Step 2: Convert to fraction form
    19,183.50/41,032 = 41,032/x
  3. Step 3: Cross multiply
    19,183.50x = 41,032 × 41,032
  4. Step 4: Simplify right side
    19,183.50x = 1,683,625,024
  5. Step 5: Solve for x
    x = 1,683,625,024/19,183.50
  6. Step 6: Final answer
    x = 87,764.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.