Finding the Third Proportional to 756 and 960
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Solution
The third proportional to 756 and 960 is: 1,219.05
Step by Step Solution
- Step 1: Write the proportion equation
756 : 960 = 960 : x - Step 2: Convert to fraction form
756/960 = 960/x - Step 3: Cross multiply
756x = 960 × 960 - Step 4: Simplify right side
756x = 921,600 - Step 5: Solve for x
x = 921,600/756 - Step 6: Final answer
x = 1,219.05
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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.