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Finding the Third Proportional to 19,471.50 and 30,505

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Solution

The third proportional to 19,471.50 and 30,505 is: 47,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471.50 : 30,505 = 30,505 : x
  2. Step 2: Convert to fraction form
    19,471.50/30,505 = 30,505/x
  3. Step 3: Cross multiply
    19,471.50x = 30,505 × 30,505
  4. Step 4: Simplify right side
    19,471.50x = 930,555,025
  5. Step 5: Solve for x
    x = 930,555,025/19,471.50
  6. Step 6: Final answer
    x = 47,790.62

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.