Finding the Third Proportional to 30,622 and 67,822
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Solution
The third proportional to 30,622 and 67,822 is: 150,213.04
Step by Step Solution
- Step 1: Write the proportion equation
30,622 : 67,822 = 67,822 : x - Step 2: Convert to fraction form
30,622/67,822 = 67,822/x - Step 3: Cross multiply
30,622x = 67,822 × 67,822 - Step 4: Simplify right side
30,622x = 4,599,823,684 - Step 5: Solve for x
x = 4,599,823,684/30,622 - Step 6: Final answer
x = 150,213.04
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.