Finding the Third Proportional to 9,874 and 21,152
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Solution
The third proportional to 9,874 and 21,152 is: 45,311.64
Step by Step Solution
- Step 1: Write the proportion equation
9,874 : 21,152 = 21,152 : x - Step 2: Convert to fraction form
9,874/21,152 = 21,152/x - Step 3: Cross multiply
9,874x = 21,152 × 21,152 - Step 4: Simplify right side
9,874x = 447,407,104 - Step 5: Solve for x
x = 447,407,104/9,874 - Step 6: Final answer
x = 45,311.64
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.