Finding the Third Proportional to 8,322 and 12,885
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Solution
The third proportional to 8,322 and 12,885 is: 19,949.92
Step by Step Solution
- Step 1: Write the proportion equation
8,322 : 12,885 = 12,885 : x - Step 2: Convert to fraction form
8,322/12,885 = 12,885/x - Step 3: Cross multiply
8,322x = 12,885 × 12,885 - Step 4: Simplify right side
8,322x = 166,023,225 - Step 5: Solve for x
x = 166,023,225/8,322 - Step 6: Final answer
x = 19,949.92
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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.