Finding the Third Proportional to 8,192 and 8,448
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Solution
The third proportional to 8,192 and 8,448 is: 8,712
Step by Step Solution
- Step 1: Write the proportion equation
8,192 : 8,448 = 8,448 : x - Step 2: Convert to fraction form
8,192/8,448 = 8,448/x - Step 3: Cross multiply
8,192x = 8,448 × 8,448 - Step 4: Simplify right side
8,192x = 71,368,704 - Step 5: Solve for x
x = 71,368,704/8,192 - Step 6: Final answer
x = 8,712
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.