Finding the Third Proportional to 2,576 and 4,146
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Solution
The third proportional to 2,576 and 4,146 is: 6,672.87
Step by Step Solution
- Step 1: Write the proportion equation
2,576 : 4,146 = 4,146 : x - Step 2: Convert to fraction form
2,576/4,146 = 4,146/x - Step 3: Cross multiply
2,576x = 4,146 × 4,146 - Step 4: Simplify right side
2,576x = 17,189,316 - Step 5: Solve for x
x = 17,189,316/2,576 - Step 6: Final answer
x = 6,672.87
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.