Finding the Third Proportional to 2,703 and 5,790
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Solution
The third proportional to 2,703 and 5,790 is: 12,402.55
Step by Step Solution
- Step 1: Write the proportion equation
2,703 : 5,790 = 5,790 : x - Step 2: Convert to fraction form
2,703/5,790 = 5,790/x - Step 3: Cross multiply
2,703x = 5,790 × 5,790 - Step 4: Simplify right side
2,703x = 33,524,100 - Step 5: Solve for x
x = 33,524,100/2,703 - Step 6: Final answer
x = 12,402.55
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.