Finding the Third Proportional to 32,969 and 50,284
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Solution
The third proportional to 32,969 and 50,284 is: 76,692.67
Step by Step Solution
- Step 1: Write the proportion equation
32,969 : 50,284 = 50,284 : x - Step 2: Convert to fraction form
32,969/50,284 = 50,284/x - Step 3: Cross multiply
32,969x = 50,284 × 50,284 - Step 4: Simplify right side
32,969x = 2,528,480,656 - Step 5: Solve for x
x = 2,528,480,656/32,969 - Step 6: Final answer
x = 76,692.67
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.