Finding the Third Proportional to 2,305 and 3,405
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Solution
The third proportional to 2,305 and 3,405 is: 5,029.95
Step by Step Solution
- Step 1: Write the proportion equation
2,305 : 3,405 = 3,405 : x - Step 2: Convert to fraction form
2,305/3,405 = 3,405/x - Step 3: Cross multiply
2,305x = 3,405 × 3,405 - Step 4: Simplify right side
2,305x = 11,594,025 - Step 5: Solve for x
x = 11,594,025/2,305 - Step 6: Final answer
x = 5,029.95
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.