Finding the Third Proportional to 9,956 and 20,542
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Solution
The third proportional to 9,956 and 20,542 is: 42,383.87
Step by Step Solution
- Step 1: Write the proportion equation
9,956 : 20,542 = 20,542 : x - Step 2: Convert to fraction form
9,956/20,542 = 20,542/x - Step 3: Cross multiply
9,956x = 20,542 × 20,542 - Step 4: Simplify right side
9,956x = 421,973,764 - Step 5: Solve for x
x = 421,973,764/9,956 - Step 6: Final answer
x = 42,383.87
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.