Finding the Third Proportional to 1,664 and 2,496
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Solution
The third proportional to 1,664 and 2,496 is: 3,744
Step by Step Solution
- Step 1: Write the proportion equation
1,664 : 2,496 = 2,496 : x - Step 2: Convert to fraction form
1,664/2,496 = 2,496/x - Step 3: Cross multiply
1,664x = 2,496 × 2,496 - Step 4: Simplify right side
1,664x = 6,230,016 - Step 5: Solve for x
x = 6,230,016/1,664 - Step 6: Final answer
x = 3,744
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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.