Finding the Third Proportional to 8,100 and 12,150
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Solution
The third proportional to 8,100 and 12,150 is: 18,225
Step by Step Solution
- Step 1: Write the proportion equation
8,100 : 12,150 = 12,150 : x - Step 2: Convert to fraction form
8,100/12,150 = 12,150/x - Step 3: Cross multiply
8,100x = 12,150 × 12,150 - Step 4: Simplify right side
8,100x = 147,622,500 - Step 5: Solve for x
x = 147,622,500/8,100 - Step 6: Final answer
x = 18,225
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.