Finding the Third Proportional to 13,922 and 31,349
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Solution
The third proportional to 13,922 and 31,349 is: 70,590.42
Step by Step Solution
- Step 1: Write the proportion equation
13,922 : 31,349 = 31,349 : x - Step 2: Convert to fraction form
13,922/31,349 = 31,349/x - Step 3: Cross multiply
13,922x = 31,349 × 31,349 - Step 4: Simplify right side
13,922x = 982,759,801 - Step 5: Solve for x
x = 982,759,801/13,922 - Step 6: Final answer
x = 70,590.42
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Why These Related Problems?
These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.