Finding the Third Proportional to 9,684 and 20,904
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Solution
The third proportional to 9,684 and 20,904 is: 45,123.63
Step by Step Solution
- Step 1: Write the proportion equation
9,684 : 20,904 = 20,904 : x - Step 2: Convert to fraction form
9,684/20,904 = 20,904/x - Step 3: Cross multiply
9,684x = 20,904 × 20,904 - Step 4: Simplify right side
9,684x = 436,977,216 - Step 5: Solve for x
x = 436,977,216/9,684 - Step 6: Final answer
x = 45,123.63
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.