Finding the Third Proportional to 31,668 and 49,032
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Solution
The third proportional to 31,668 and 49,032 is: 75,916.92
Step by Step Solution
- Step 1: Write the proportion equation
31,668 : 49,032 = 49,032 : x - Step 2: Convert to fraction form
31,668/49,032 = 49,032/x - Step 3: Cross multiply
31,668x = 49,032 × 49,032 - Step 4: Simplify right side
31,668x = 2,404,137,024 - Step 5: Solve for x
x = 2,404,137,024/31,668 - Step 6: Final answer
x = 75,916.92
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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.