Finding the Third Proportional to 27,750 and 40,626
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Solution
The third proportional to 27,750 and 40,626 is: 59,476.46
Step by Step Solution
- Step 1: Write the proportion equation
27,750 : 40,626 = 40,626 : x - Step 2: Convert to fraction form
27,750/40,626 = 40,626/x - Step 3: Cross multiply
27,750x = 40,626 × 40,626 - Step 4: Simplify right side
27,750x = 1,650,471,876 - Step 5: Solve for x
x = 1,650,471,876/27,750 - Step 6: Final answer
x = 59,476.46
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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.