Finding the Third Proportional to 22,626 and 32,947
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Solution
The third proportional to 22,626 and 32,947 is: 47,975.99
Step by Step Solution
- Step 1: Write the proportion equation
22,626 : 32,947 = 32,947 : x - Step 2: Convert to fraction form
22,626/32,947 = 32,947/x - Step 3: Cross multiply
22,626x = 32,947 × 32,947 - Step 4: Simplify right side
22,626x = 1,085,504,809 - Step 5: Solve for x
x = 1,085,504,809/22,626 - Step 6: Final answer
x = 47,975.99
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.