Finding the Third Proportional to 756 and 1,652
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Solution
The third proportional to 756 and 1,652 is: 3,609.93
Step by Step Solution
- Step 1: Write the proportion equation
756 : 1,652 = 1,652 : x - Step 2: Convert to fraction form
756/1,652 = 1,652/x - Step 3: Cross multiply
756x = 1,652 × 1,652 - Step 4: Simplify right side
756x = 2,729,104 - Step 5: Solve for x
x = 2,729,104/756 - Step 6: Final answer
x = 3,609.93
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.