Finding the Third Proportional to 9,833 and 21,394
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Solution
The third proportional to 9,833 and 21,394 is: 46,547.67
Step by Step Solution
- Step 1: Write the proportion equation
9,833 : 21,394 = 21,394 : x - Step 2: Convert to fraction form
9,833/21,394 = 21,394/x - Step 3: Cross multiply
9,833x = 21,394 × 21,394 - Step 4: Simplify right side
9,833x = 457,703,236 - Step 5: Solve for x
x = 457,703,236/9,833 - Step 6: Final answer
x = 46,547.67
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.