Finding the Third Proportional to 2,536 and 4,696
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Solution
The third proportional to 2,536 and 4,696 is: 8,695.75
Step by Step Solution
- Step 1: Write the proportion equation
2,536 : 4,696 = 4,696 : x - Step 2: Convert to fraction form
2,536/4,696 = 4,696/x - Step 3: Cross multiply
2,536x = 4,696 × 4,696 - Step 4: Simplify right side
2,536x = 22,052,416 - Step 5: Solve for x
x = 22,052,416/2,536 - Step 6: Final answer
x = 8,695.75
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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.