Finding the Third Proportional to 3,102.05 and 6,169.92
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Solution
The third proportional to 3,102.05 and 6,169.92 is: 12,271.88
Step by Step Solution
- Step 1: Write the proportion equation
3,102.05 : 6,169.92 = 6,169.92 : x - Step 2: Convert to fraction form
3,102.05/6,169.92 = 6,169.92/x - Step 3: Cross multiply
3,102.05x = 6,169.92 × 6,169.92 - Step 4: Simplify right side
3,102.05x = 38,067,935.94 - Step 5: Solve for x
x = 38,067,935.94/3,102.05 - Step 6: Final answer
x = 12,271.88
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These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.