Finding the Third Proportional to 1,444 and 1,824
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Solution
The third proportional to 1,444 and 1,824 is: 2,304
Step by Step Solution
- Step 1: Write the proportion equation
1,444 : 1,824 = 1,824 : x - Step 2: Convert to fraction form
1,444/1,824 = 1,824/x - Step 3: Cross multiply
1,444x = 1,824 × 1,824 - Step 4: Simplify right side
1,444x = 3,326,976 - Step 5: Solve for x
x = 3,326,976/1,444 - Step 6: Final answer
x = 2,304
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Why These Related Problems?
These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.