Finding the Third Proportional to 13,530 and 31,073
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Solution
The third proportional to 13,530 and 31,073 is: 71,362.26
Step by Step Solution
- Step 1: Write the proportion equation
13,530 : 31,073 = 31,073 : x - Step 2: Convert to fraction form
13,530/31,073 = 31,073/x - Step 3: Cross multiply
13,530x = 31,073 × 31,073 - Step 4: Simplify right side
13,530x = 965,531,329 - Step 5: Solve for x
x = 965,531,329/13,530 - Step 6: Final answer
x = 71,362.26
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.