Finding the Third Proportional to 9,956 and 21,784
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Solution
The third proportional to 9,956 and 21,784 is: 47,663.99
Step by Step Solution
- Step 1: Write the proportion equation
9,956 : 21,784 = 21,784 : x - Step 2: Convert to fraction form
9,956/21,784 = 21,784/x - Step 3: Cross multiply
9,956x = 21,784 × 21,784 - Step 4: Simplify right side
9,956x = 474,542,656 - Step 5: Solve for x
x = 474,542,656/9,956 - Step 6: Final answer
x = 47,663.99
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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.