Finding the Third Proportional to 8,196 and 17,931
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Solution
The third proportional to 8,196 and 17,931 is: 39,228.98
Step by Step Solution
- Step 1: Write the proportion equation
8,196 : 17,931 = 17,931 : x - Step 2: Convert to fraction form
8,196/17,931 = 17,931/x - Step 3: Cross multiply
8,196x = 17,931 × 17,931 - Step 4: Simplify right side
8,196x = 321,520,761 - Step 5: Solve for x
x = 321,520,761/8,196 - Step 6: Final answer
x = 39,228.98
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.