Finding the Third Proportional to 4,096 and 4,224
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Solution
The third proportional to 4,096 and 4,224 is: 4,356
Step by Step Solution
- Step 1: Write the proportion equation
4,096 : 4,224 = 4,224 : x - Step 2: Convert to fraction form
4,096/4,224 = 4,224/x - Step 3: Cross multiply
4,096x = 4,224 × 4,224 - Step 4: Simplify right side
4,096x = 17,842,176 - Step 5: Solve for x
x = 17,842,176/4,096 - Step 6: Final answer
x = 4,356
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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.