Finding the Third Proportional to 24,072 and 52,947
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Solution
The third proportional to 24,072 and 52,947 is: 116,458.33
Step by Step Solution
- Step 1: Write the proportion equation
24,072 : 52,947 = 52,947 : x - Step 2: Convert to fraction form
24,072/52,947 = 52,947/x - Step 3: Cross multiply
24,072x = 52,947 × 52,947 - Step 4: Simplify right side
24,072x = 2,803,384,809 - Step 5: Solve for x
x = 2,803,384,809/24,072 - Step 6: Final answer
x = 116,458.33
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.