Finding the Third Proportional to 32,045 and 50,267
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Solution
The third proportional to 32,045 and 50,267 is: 78,850.72
Step by Step Solution
- Step 1: Write the proportion equation
32,045 : 50,267 = 50,267 : x - Step 2: Convert to fraction form
32,045/50,267 = 50,267/x - Step 3: Cross multiply
32,045x = 50,267 × 50,267 - Step 4: Simplify right side
32,045x = 2,526,771,289 - Step 5: Solve for x
x = 2,526,771,289/32,045 - Step 6: Final answer
x = 78,850.72
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.