Finding the Third Proportional to 2,492 and 3,412
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Solution
The third proportional to 2,492 and 3,412 is: 4,671.65
Step by Step Solution
- Step 1: Write the proportion equation
2,492 : 3,412 = 3,412 : x - Step 2: Convert to fraction form
2,492/3,412 = 3,412/x - Step 3: Cross multiply
2,492x = 3,412 × 3,412 - Step 4: Simplify right side
2,492x = 11,641,744 - Step 5: Solve for x
x = 11,641,744/2,492 - Step 6: Final answer
x = 4,671.65
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.