Finding the Third Proportional to 7,732 and 8,956
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Solution
The third proportional to 7,732 and 8,956 is: 10,373.76
Step by Step Solution
- Step 1: Write the proportion equation
7,732 : 8,956 = 8,956 : x - Step 2: Convert to fraction form
7,732/8,956 = 8,956/x - Step 3: Cross multiply
7,732x = 8,956 × 8,956 - Step 4: Simplify right side
7,732x = 80,209,936 - Step 5: Solve for x
x = 80,209,936/7,732 - Step 6: Final answer
x = 10,373.76
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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.