Finding the Third Proportional to 32,238 and 49,311
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Solution
The third proportional to 32,238 and 49,311 is: 75,425.73
Step by Step Solution
- Step 1: Write the proportion equation
32,238 : 49,311 = 49,311 : x - Step 2: Convert to fraction form
32,238/49,311 = 49,311/x - Step 3: Cross multiply
32,238x = 49,311 × 49,311 - Step 4: Simplify right side
32,238x = 2,431,574,721 - Step 5: Solve for x
x = 2,431,574,721/32,238 - Step 6: Final answer
x = 75,425.73
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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.