Finding the Third Proportional to 764 and 1,571
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Solution
The third proportional to 764 and 1,571 is: 3,230.42
Step by Step Solution
- Step 1: Write the proportion equation
764 : 1,571 = 1,571 : x - Step 2: Convert to fraction form
764/1,571 = 1,571/x - Step 3: Cross multiply
764x = 1,571 × 1,571 - Step 4: Simplify right side
764x = 2,468,041 - Step 5: Solve for x
x = 2,468,041/764 - Step 6: Final answer
x = 3,230.42
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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.