Finding the Third Proportional to 12,786 and 20,061
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Solution
The third proportional to 12,786 and 20,061 is: 31,475.34
Step by Step Solution
- Step 1: Write the proportion equation
12,786 : 20,061 = 20,061 : x - Step 2: Convert to fraction form
12,786/20,061 = 20,061/x - Step 3: Cross multiply
12,786x = 20,061 × 20,061 - Step 4: Simplify right side
12,786x = 402,443,721 - Step 5: Solve for x
x = 402,443,721/12,786 - Step 6: Final answer
x = 31,475.34
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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.