Finding the Third Proportional to 8,183.75 and 12,261.75
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Solution
The third proportional to 8,183.75 and 12,261.75 is: 18,371.84
Step by Step Solution
- Step 1: Write the proportion equation
8,183.75 : 12,261.75 = 12,261.75 : x - Step 2: Convert to fraction form
8,183.75/12,261.75 = 12,261.75/x - Step 3: Cross multiply
8,183.75x = 12,261.75 × 12,261.75 - Step 4: Simplify right side
8,183.75x = 150,350,513.06 - Step 5: Solve for x
x = 150,350,513.06/8,183.75 - Step 6: Final answer
x = 18,371.84
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.