Finding the Third Proportional to 31,398 and 49,248
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Solution
The third proportional to 31,398 and 49,248 is: 77,245.86
Step by Step Solution
- Step 1: Write the proportion equation
31,398 : 49,248 = 49,248 : x - Step 2: Convert to fraction form
31,398/49,248 = 49,248/x - Step 3: Cross multiply
31,398x = 49,248 × 49,248 - Step 4: Simplify right side
31,398x = 2,425,365,504 - Step 5: Solve for x
x = 2,425,365,504/31,398 - Step 6: Final answer
x = 77,245.86
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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.