Finding the Third Proportional to 2,304 and 2,496
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Solution
The third proportional to 2,304 and 2,496 is: 2,704
Step by Step Solution
- Step 1: Write the proportion equation
2,304 : 2,496 = 2,496 : x - Step 2: Convert to fraction form
2,304/2,496 = 2,496/x - Step 3: Cross multiply
2,304x = 2,496 × 2,496 - Step 4: Simplify right side
2,304x = 6,230,016 - Step 5: Solve for x
x = 6,230,016/2,304 - Step 6: Final answer
x = 2,704
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.