Finding the Third Proportional to 47,328.50 and 101,947
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Solution
The third proportional to 47,328.50 and 101,947 is: 219,596.88
Step by Step Solution
- Step 1: Write the proportion equation
47,328.50 : 101,947 = 101,947 : x - Step 2: Convert to fraction form
47,328.50/101,947 = 101,947/x - Step 3: Cross multiply
47,328.50x = 101,947 × 101,947 - Step 4: Simplify right side
47,328.50x = 10,393,190,809 - Step 5: Solve for x
x = 10,393,190,809/47,328.50 - Step 6: Final answer
x = 219,596.88
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.