Finding the Third Proportional to 31,096 and 67,104
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Solution
The third proportional to 31,096 and 67,104 is: 144,807.91
Step by Step Solution
- Step 1: Write the proportion equation
31,096 : 67,104 = 67,104 : x - Step 2: Convert to fraction form
31,096/67,104 = 67,104/x - Step 3: Cross multiply
31,096x = 67,104 × 67,104 - Step 4: Simplify right side
31,096x = 4,502,946,816 - Step 5: Solve for x
x = 4,502,946,816/31,096 - Step 6: Final answer
x = 144,807.91
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.