Finding the Third Proportional to 5,994 and 8,382
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Solution
The third proportional to 5,994 and 8,382 is: 11,721.38
Step by Step Solution
- Step 1: Write the proportion equation
5,994 : 8,382 = 8,382 : x - Step 2: Convert to fraction form
5,994/8,382 = 8,382/x - Step 3: Cross multiply
5,994x = 8,382 × 8,382 - Step 4: Simplify right side
5,994x = 70,257,924 - Step 5: Solve for x
x = 70,257,924/5,994 - Step 6: Final answer
x = 11,721.38
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.