Finding the Third Proportional to 9,956 and 22,098
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Solution
The third proportional to 9,956 and 22,098 is: 49,047.97
Step by Step Solution
- Step 1: Write the proportion equation
9,956 : 22,098 = 22,098 : x - Step 2: Convert to fraction form
9,956/22,098 = 22,098/x - Step 3: Cross multiply
9,956x = 22,098 × 22,098 - Step 4: Simplify right side
9,956x = 488,321,604 - Step 5: Solve for x
x = 488,321,604/9,956 - Step 6: Final answer
x = 49,047.97
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.