Finding the Third Proportional to 24,512 and 34,656
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Solution
The third proportional to 24,512 and 34,656 is: 48,997.97
Step by Step Solution
- Step 1: Write the proportion equation
24,512 : 34,656 = 34,656 : x - Step 2: Convert to fraction form
24,512/34,656 = 34,656/x - Step 3: Cross multiply
24,512x = 34,656 × 34,656 - Step 4: Simplify right side
24,512x = 1,201,038,336 - Step 5: Solve for x
x = 1,201,038,336/24,512 - Step 6: Final answer
x = 48,997.97
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.