Finding the Third Proportional to 30,205.50 and 65,601
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Solution
The third proportional to 30,205.50 and 65,601 is: 142,473.76
Step by Step Solution
- Step 1: Write the proportion equation
30,205.50 : 65,601 = 65,601 : x - Step 2: Convert to fraction form
30,205.50/65,601 = 65,601/x - Step 3: Cross multiply
30,205.50x = 65,601 × 65,601 - Step 4: Simplify right side
30,205.50x = 4,303,491,201 - Step 5: Solve for x
x = 4,303,491,201/30,205.50 - Step 6: Final answer
x = 142,473.76
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.