Finding the Third Proportional to 31,660 and 49,218
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Solution
The third proportional to 31,660 and 49,218 is: 76,513.31
Step by Step Solution
- Step 1: Write the proportion equation
31,660 : 49,218 = 49,218 : x - Step 2: Convert to fraction form
31,660/49,218 = 49,218/x - Step 3: Cross multiply
31,660x = 49,218 × 49,218 - Step 4: Simplify right side
31,660x = 2,422,411,524 - Step 5: Solve for x
x = 2,422,411,524/31,660 - Step 6: Final answer
x = 76,513.31
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.