Finding the Third Proportional to 9,786 and 21,156
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Solution
The third proportional to 9,786 and 21,156 is: 45,736.39
Step by Step Solution
- Step 1: Write the proportion equation
9,786 : 21,156 = 21,156 : x - Step 2: Convert to fraction form
9,786/21,156 = 21,156/x - Step 3: Cross multiply
9,786x = 21,156 × 21,156 - Step 4: Simplify right side
9,786x = 447,576,336 - Step 5: Solve for x
x = 447,576,336/9,786 - Step 6: Final answer
x = 45,736.39
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.