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Finding the Third Proportional to 19,183.50 and 42,159

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Solution

The third proportional to 19,183.50 and 42,159 is: 92,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,183.50 : 42,159 = 42,159 : x
  2. Step 2: Convert to fraction form
    19,183.50/42,159 = 42,159/x
  3. Step 3: Cross multiply
    19,183.50x = 42,159 × 42,159
  4. Step 4: Simplify right side
    19,183.50x = 1,777,381,281
  5. Step 5: Solve for x
    x = 1,777,381,281/19,183.50
  6. Step 6: Final answer
    x = 92,651.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.