Finding the Third Proportional to 31,554 and 46,307
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Solution
The third proportional to 31,554 and 46,307 is: 67,957.73
Step by Step Solution
- Step 1: Write the proportion equation
31,554 : 46,307 = 46,307 : x - Step 2: Convert to fraction form
31,554/46,307 = 46,307/x - Step 3: Cross multiply
31,554x = 46,307 × 46,307 - Step 4: Simplify right side
31,554x = 2,144,338,249 - Step 5: Solve for x
x = 2,144,338,249/31,554 - Step 6: Final answer
x = 67,957.73
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.