Finding the Third Proportional to 31,922 and 50,525
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Solution
The third proportional to 31,922 and 50,525 is: 79,969.16
Step by Step Solution
- Step 1: Write the proportion equation
31,922 : 50,525 = 50,525 : x - Step 2: Convert to fraction form
31,922/50,525 = 50,525/x - Step 3: Cross multiply
31,922x = 50,525 × 50,525 - Step 4: Simplify right side
31,922x = 2,552,775,625 - Step 5: Solve for x
x = 2,552,775,625/31,922 - Step 6: Final answer
x = 79,969.16
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.