Finding the Third Proportional to 1,183 and 1,729
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Solution
The third proportional to 1,183 and 1,729 is: 2,527
Step by Step Solution
- Step 1: Write the proportion equation
1,183 : 1,729 = 1,729 : x - Step 2: Convert to fraction form
1,183/1,729 = 1,729/x - Step 3: Cross multiply
1,183x = 1,729 × 1,729 - Step 4: Simplify right side
1,183x = 2,989,441 - Step 5: Solve for x
x = 2,989,441/1,183 - Step 6: Final answer
x = 2,527
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.