Finding the Third Proportional to 9,951 and 21,678
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Solution
The third proportional to 9,951 and 21,678 is: 47,224.97
Step by Step Solution
- Step 1: Write the proportion equation
9,951 : 21,678 = 21,678 : x - Step 2: Convert to fraction form
9,951/21,678 = 21,678/x - Step 3: Cross multiply
9,951x = 21,678 × 21,678 - Step 4: Simplify right side
9,951x = 469,935,684 - Step 5: Solve for x
x = 469,935,684/9,951 - Step 6: Final answer
x = 47,224.97
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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.