Finding the Third Proportional to 9,784 and 20,647
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Solution
The third proportional to 9,784 and 20,647 is: 43,570.99
Step by Step Solution
- Step 1: Write the proportion equation
9,784 : 20,647 = 20,647 : x - Step 2: Convert to fraction form
9,784/20,647 = 20,647/x - Step 3: Cross multiply
9,784x = 20,647 × 20,647 - Step 4: Simplify right side
9,784x = 426,298,609 - Step 5: Solve for x
x = 426,298,609/9,784 - Step 6: Final answer
x = 43,570.99
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.