Finding the Third Proportional to 47,046.50 and 100,915
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Solution
The third proportional to 47,046.50 and 100,915 is: 216,463.23
Step by Step Solution
- Step 1: Write the proportion equation
47,046.50 : 100,915 = 100,915 : x - Step 2: Convert to fraction form
47,046.50/100,915 = 100,915/x - Step 3: Cross multiply
47,046.50x = 100,915 × 100,915 - Step 4: Simplify right side
47,046.50x = 10,183,837,225 - Step 5: Solve for x
x = 10,183,837,225/47,046.50 - Step 6: Final answer
x = 216,463.23
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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.