Finding the Third Proportional to 1,208 and 1,807
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Solution
The third proportional to 1,208 and 1,807 is: 2,703.02
Step by Step Solution
- Step 1: Write the proportion equation
1,208 : 1,807 = 1,807 : x - Step 2: Convert to fraction form
1,208/1,807 = 1,807/x - Step 3: Cross multiply
1,208x = 1,807 × 1,807 - Step 4: Simplify right side
1,208x = 3,265,249 - Step 5: Solve for x
x = 3,265,249/1,208 - Step 6: Final answer
x = 2,703.02
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.