Finding the Third Proportional to 9,096 and 13,644
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Solution
The third proportional to 9,096 and 13,644 is: 20,466
Step by Step Solution
- Step 1: Write the proportion equation
9,096 : 13,644 = 13,644 : x - Step 2: Convert to fraction form
9,096/13,644 = 13,644/x - Step 3: Cross multiply
9,096x = 13,644 × 13,644 - Step 4: Simplify right side
9,096x = 186,158,736 - Step 5: Solve for x
x = 186,158,736/9,096 - Step 6: Final answer
x = 20,466
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.