Finding the Third Proportional to 23,217 and 33,832
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Solution
The third proportional to 23,217 and 33,832 is: 49,300.26
Step by Step Solution
- Step 1: Write the proportion equation
23,217 : 33,832 = 33,832 : x - Step 2: Convert to fraction form
23,217/33,832 = 33,832/x - Step 3: Cross multiply
23,217x = 33,832 × 33,832 - Step 4: Simplify right side
23,217x = 1,144,604,224 - Step 5: Solve for x
x = 1,144,604,224/23,217 - Step 6: Final answer
x = 49,300.26
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.