Finding the Third Proportional to 9,788 and 21,817
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Solution
The third proportional to 9,788 and 21,817 is: 48,629.09
Step by Step Solution
- Step 1: Write the proportion equation
9,788 : 21,817 = 21,817 : x - Step 2: Convert to fraction form
9,788/21,817 = 21,817/x - Step 3: Cross multiply
9,788x = 21,817 × 21,817 - Step 4: Simplify right side
9,788x = 475,981,489 - Step 5: Solve for x
x = 475,981,489/9,788 - Step 6: Final answer
x = 48,629.09
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.