Finding the Third Proportional to 16,096 and 22,976
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Solution
The third proportional to 16,096 and 22,976 is: 32,796.76
Step by Step Solution
- Step 1: Write the proportion equation
16,096 : 22,976 = 22,976 : x - Step 2: Convert to fraction form
16,096/22,976 = 22,976/x - Step 3: Cross multiply
16,096x = 22,976 × 22,976 - Step 4: Simplify right side
16,096x = 527,896,576 - Step 5: Solve for x
x = 527,896,576/16,096 - Step 6: Final answer
x = 32,796.76
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.