Finding the Third Proportional to 9,648 and 21,149
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Solution
The third proportional to 9,648 and 21,149 is: 46,359.89
Step by Step Solution
- Step 1: Write the proportion equation
9,648 : 21,149 = 21,149 : x - Step 2: Convert to fraction form
9,648/21,149 = 21,149/x - Step 3: Cross multiply
9,648x = 21,149 × 21,149 - Step 4: Simplify right side
9,648x = 447,280,201 - Step 5: Solve for x
x = 447,280,201/9,648 - Step 6: Final answer
x = 46,359.89
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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.