Finding the Third Proportional to 2,304 and 5,472
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Solution
The third proportional to 2,304 and 5,472 is: 12,996
Step by Step Solution
- Step 1: Write the proportion equation
2,304 : 5,472 = 5,472 : x - Step 2: Convert to fraction form
2,304/5,472 = 5,472/x - Step 3: Cross multiply
2,304x = 5,472 × 5,472 - Step 4: Simplify right side
2,304x = 29,942,784 - Step 5: Solve for x
x = 29,942,784/2,304 - Step 6: Final answer
x = 12,996
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Why These Related Problems?
These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.