Finding the Third Proportional to 6 and 9.19
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Solution
The third proportional to 6 and 9.19 is: 14.07
Step by Step Solution
- Step 1: Write the proportion equation
6 : 9.19 = 9.19 : x - Step 2: Convert to fraction form
6/9.19 = 9.19/x - Step 3: Cross multiply
6x = 9.19 × 9.19 - Step 4: Simplify right side
6x = 84.41 - Step 5: Solve for x
x = 84.41/6 - Step 6: Final answer
x = 14.07
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.