Finding the Third Proportional to 10,530 and 23,004
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Solution
The third proportional to 10,530 and 23,004 is: 50,254.89
Step by Step Solution
- Step 1: Write the proportion equation
10,530 : 23,004 = 23,004 : x - Step 2: Convert to fraction form
10,530/23,004 = 23,004/x - Step 3: Cross multiply
10,530x = 23,004 × 23,004 - Step 4: Simplify right side
10,530x = 529,184,016 - Step 5: Solve for x
x = 529,184,016/10,530 - Step 6: Final answer
x = 50,254.89
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.