Finding the Third Proportional to 3,657 and 5,405
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Solution
The third proportional to 3,657 and 5,405 is: 7,988.52
Step by Step Solution
- Step 1: Write the proportion equation
3,657 : 5,405 = 5,405 : x - Step 2: Convert to fraction form
3,657/5,405 = 5,405/x - Step 3: Cross multiply
3,657x = 5,405 × 5,405 - Step 4: Simplify right side
3,657x = 29,214,025 - Step 5: Solve for x
x = 29,214,025/3,657 - Step 6: Final answer
x = 7,988.52
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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.