Finding the Third Proportional to 9,852 and 23,079
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Solution
The third proportional to 9,852 and 23,079 is: 54,064.17
Step by Step Solution
- Step 1: Write the proportion equation
9,852 : 23,079 = 23,079 : x - Step 2: Convert to fraction form
9,852/23,079 = 23,079/x - Step 3: Cross multiply
9,852x = 23,079 × 23,079 - Step 4: Simplify right side
9,852x = 532,640,241 - Step 5: Solve for x
x = 532,640,241/9,852 - Step 6: Final answer
x = 54,064.17
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.