Finding the Third Proportional to 1,729 and 3,176
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Solution
The third proportional to 1,729 and 3,176 is: 5,833.99
Step by Step Solution
- Step 1: Write the proportion equation
1,729 : 3,176 = 3,176 : x - Step 2: Convert to fraction form
1,729/3,176 = 3,176/x - Step 3: Cross multiply
1,729x = 3,176 × 3,176 - Step 4: Simplify right side
1,729x = 10,086,976 - Step 5: Solve for x
x = 10,086,976/1,729 - Step 6: Final answer
x = 5,833.99
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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.