Finding the Third Proportional to 12,770 and 19,723
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Solution
The third proportional to 12,770 and 19,723 is: 30,461.76
Step by Step Solution
- Step 1: Write the proportion equation
12,770 : 19,723 = 19,723 : x - Step 2: Convert to fraction form
12,770/19,723 = 19,723/x - Step 3: Cross multiply
12,770x = 19,723 × 19,723 - Step 4: Simplify right side
12,770x = 388,996,729 - Step 5: Solve for x
x = 388,996,729/12,770 - Step 6: Final answer
x = 30,461.76
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.