Finding the Third Proportional to 941 and 1,057
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Solution
The third proportional to 941 and 1,057 is: 1,187.30
Step by Step Solution
- Step 1: Write the proportion equation
941 : 1,057 = 1,057 : x - Step 2: Convert to fraction form
941/1,057 = 1,057/x - Step 3: Cross multiply
941x = 1,057 × 1,057 - Step 4: Simplify right side
941x = 1,117,249 - Step 5: Solve for x
x = 1,117,249/941 - Step 6: Final answer
x = 1,187.30
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.