Finding the Third Proportional to 6 and 11.25
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Solution
The third proportional to 6 and 11.25 is: 21.09
Step by Step Solution
- Step 1: Write the proportion equation
6 : 11.25 = 11.25 : x - Step 2: Convert to fraction form
6/11.25 = 11.25/x - Step 3: Cross multiply
6x = 11.25 × 11.25 - Step 4: Simplify right side
6x = 126.56 - Step 5: Solve for x
x = 126.56/6 - Step 6: Final answer
x = 21.09
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.