Finding the Third Proportional to 1,268 and 2,782
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Solution
The third proportional to 1,268 and 2,782 is: 6,103.73
Step by Step Solution
- Step 1: Write the proportion equation
1,268 : 2,782 = 2,782 : x - Step 2: Convert to fraction form
1,268/2,782 = 2,782/x - Step 3: Cross multiply
1,268x = 2,782 × 2,782 - Step 4: Simplify right side
1,268x = 7,739,524 - Step 5: Solve for x
x = 7,739,524/1,268 - Step 6: Final answer
x = 6,103.73
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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.