Finding the Third Proportional to 19,808 and 30,770
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Solution
The third proportional to 19,808 and 30,770 is: 47,798.51
Step by Step Solution
- Step 1: Write the proportion equation
19,808 : 30,770 = 30,770 : x - Step 2: Convert to fraction form
19,808/30,770 = 30,770/x - Step 3: Cross multiply
19,808x = 30,770 × 30,770 - Step 4: Simplify right side
19,808x = 946,792,900 - Step 5: Solve for x
x = 946,792,900/19,808 - Step 6: Final answer
x = 47,798.51
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.