Finding the Third Proportional to 2,406 and 4,812
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Solution
The third proportional to 2,406 and 4,812 is: 9,624
Step by Step Solution
- Step 1: Write the proportion equation
2,406 : 4,812 = 4,812 : x - Step 2: Convert to fraction form
2,406/4,812 = 4,812/x - Step 3: Cross multiply
2,406x = 4,812 × 4,812 - Step 4: Simplify right side
2,406x = 23,155,344 - Step 5: Solve for x
x = 23,155,344/2,406 - Step 6: Final answer
x = 9,624
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Why These Related Problems?
These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.