Finding the Third Proportional to 23,530 and 49,003
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Solution
The third proportional to 23,530 and 49,003 is: 102,052.44
Step by Step Solution
- Step 1: Write the proportion equation
23,530 : 49,003 = 49,003 : x - Step 2: Convert to fraction form
23,530/49,003 = 49,003/x - Step 3: Cross multiply
23,530x = 49,003 × 49,003 - Step 4: Simplify right side
23,530x = 2,401,294,009 - Step 5: Solve for x
x = 2,401,294,009/23,530 - Step 6: Final answer
x = 102,052.44
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.