Finding the Third Proportional to 4,032 and 9,744
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Solution
The third proportional to 4,032 and 9,744 is: 23,548
Step by Step Solution
- Step 1: Write the proportion equation
4,032 : 9,744 = 9,744 : x - Step 2: Convert to fraction form
4,032/9,744 = 9,744/x - Step 3: Cross multiply
4,032x = 9,744 × 9,744 - Step 4: Simplify right side
4,032x = 94,945,536 - Step 5: Solve for x
x = 94,945,536/4,032 - Step 6: Final answer
x = 23,548
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Why These Related Problems?
These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.