Finding the Third Proportional to 9,822 and 21,354
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Solution
The third proportional to 9,822 and 21,354 is: 46,425.71
Step by Step Solution
- Step 1: Write the proportion equation
9,822 : 21,354 = 21,354 : x - Step 2: Convert to fraction form
9,822/21,354 = 21,354/x - Step 3: Cross multiply
9,822x = 21,354 × 21,354 - Step 4: Simplify right side
9,822x = 455,993,316 - Step 5: Solve for x
x = 455,993,316/9,822 - Step 6: Final answer
x = 46,425.71
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.