Finding the Third Proportional to 23,728.50 and 49,077
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Solution
The third proportional to 23,728.50 and 49,077 is: 101,504.60
Step by Step Solution
- Step 1: Write the proportion equation
23,728.50 : 49,077 = 49,077 : x - Step 2: Convert to fraction form
23,728.50/49,077 = 49,077/x - Step 3: Cross multiply
23,728.50x = 49,077 × 49,077 - Step 4: Simplify right side
23,728.50x = 2,408,551,929 - Step 5: Solve for x
x = 2,408,551,929/23,728.50 - Step 6: Final answer
x = 101,504.60
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.