Finding the Third Proportional to 9,784 and 20,540
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Solution
The third proportional to 9,784 and 20,540 is: 43,120.56
Step by Step Solution
- Step 1: Write the proportion equation
9,784 : 20,540 = 20,540 : x - Step 2: Convert to fraction form
9,784/20,540 = 20,540/x - Step 3: Cross multiply
9,784x = 20,540 × 20,540 - Step 4: Simplify right side
9,784x = 421,891,600 - Step 5: Solve for x
x = 421,891,600/9,784 - Step 6: Final answer
x = 43,120.56
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.