Finding the Third Proportional to 30,596 and 67,022
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Solution
The third proportional to 30,596 and 67,022 is: 146,814.89
Step by Step Solution
- Step 1: Write the proportion equation
30,596 : 67,022 = 67,022 : x - Step 2: Convert to fraction form
30,596/67,022 = 67,022/x - Step 3: Cross multiply
30,596x = 67,022 × 67,022 - Step 4: Simplify right side
30,596x = 4,491,948,484 - Step 5: Solve for x
x = 4,491,948,484/30,596 - Step 6: Final answer
x = 146,814.89
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.