Finding the Third Proportional to 12,632 and 19,815
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Solution
The third proportional to 12,632 and 19,815 is: 31,082.51
Step by Step Solution
- Step 1: Write the proportion equation
12,632 : 19,815 = 19,815 : x - Step 2: Convert to fraction form
12,632/19,815 = 19,815/x - Step 3: Cross multiply
12,632x = 19,815 × 19,815 - Step 4: Simplify right side
12,632x = 392,634,225 - Step 5: Solve for x
x = 392,634,225/12,632 - Step 6: Final answer
x = 31,082.51
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.