Finding the Third Proportional to 41 and 107.25
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Solution
The third proportional to 41 and 107.25 is: 280.55
Step by Step Solution
- Step 1: Write the proportion equation
41 : 107.25 = 107.25 : x - Step 2: Convert to fraction form
41/107.25 = 107.25/x - Step 3: Cross multiply
41x = 107.25 × 107.25 - Step 4: Simplify right side
41x = 11,502.56 - Step 5: Solve for x
x = 11,502.56/41 - Step 6: Final answer
x = 280.55
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Why These Related Problems?
These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.