Finding the Third Proportional to 9,722 and 21,284
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Solution
The third proportional to 9,722 and 21,284 is: 46,596.24
Step by Step Solution
- Step 1: Write the proportion equation
9,722 : 21,284 = 21,284 : x - Step 2: Convert to fraction form
9,722/21,284 = 21,284/x - Step 3: Cross multiply
9,722x = 21,284 × 21,284 - Step 4: Simplify right side
9,722x = 453,008,656 - Step 5: Solve for x
x = 453,008,656/9,722 - Step 6: Final answer
x = 46,596.24
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.