Finding the Third Proportional to 9,962 and 21,222
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Solution
The third proportional to 9,962 and 21,222 is: 45,209.12
Step by Step Solution
- Step 1: Write the proportion equation
9,962 : 21,222 = 21,222 : x - Step 2: Convert to fraction form
9,962/21,222 = 21,222/x - Step 3: Cross multiply
9,962x = 21,222 × 21,222 - Step 4: Simplify right side
9,962x = 450,373,284 - Step 5: Solve for x
x = 450,373,284/9,962 - Step 6: Final answer
x = 45,209.12
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.