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Finding the Third Proportional to 11,947.50 and 18,513.56

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Solution

The third proportional to 11,947.50 and 18,513.56 is: 28,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.50 : 18,513.56 = 18,513.56 : x
  2. Step 2: Convert to fraction form
    11,947.50/18,513.56 = 18,513.56/x
  3. Step 3: Cross multiply
    11,947.50x = 18,513.56 × 18,513.56
  4. Step 4: Simplify right side
    11,947.50x = 342,751,996.44
  5. Step 5: Solve for x
    x = 342,751,996.44/11,947.50
  6. Step 6: Final answer
    x = 28,688.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.