Finding the Third Proportional to 6,854.25 and 14,247.75
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Solution
The third proportional to 6,854.25 and 14,247.75 is: 29,616.42
Step by Step Solution
- Step 1: Write the proportion equation
6,854.25 : 14,247.75 = 14,247.75 : x - Step 2: Convert to fraction form
6,854.25/14,247.75 = 14,247.75/x - Step 3: Cross multiply
6,854.25x = 14,247.75 × 14,247.75 - Step 4: Simplify right side
6,854.25x = 202,998,380.06 - Step 5: Solve for x
x = 202,998,380.06/6,854.25 - Step 6: Final answer
x = 29,616.42
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.