Finding the Third Proportional to 6,382.13 and 8,506.69
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Solution
The third proportional to 6,382.13 and 8,506.69 is: 11,338.50
Step by Step Solution
- Step 1: Write the proportion equation
6,382.13 : 8,506.69 = 8,506.69 : x - Step 2: Convert to fraction form
6,382.13/8,506.69 = 8,506.69/x - Step 3: Cross multiply
6,382.13x = 8,506.69 × 8,506.69 - Step 4: Simplify right side
6,382.13x = 72,363,732.22 - Step 5: Solve for x
x = 72,363,732.22/6,382.13 - Step 6: Final answer
x = 11,338.50
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.