Finding the Third Proportional to 952 and 1,866
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Solution
The third proportional to 952 and 1,866 is: 3,657.52
Step by Step Solution
- Step 1: Write the proportion equation
952 : 1,866 = 1,866 : x - Step 2: Convert to fraction form
952/1,866 = 1,866/x - Step 3: Cross multiply
952x = 1,866 × 1,866 - Step 4: Simplify right side
952x = 3,481,956 - Step 5: Solve for x
x = 3,481,956/952 - Step 6: Final answer
x = 3,657.52
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Why These Related Problems?
These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.