Finding the Third Proportional to 2,872 and 4,270
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Solution
The third proportional to 2,872 and 4,270 is: 6,348.50
Step by Step Solution
- Step 1: Write the proportion equation
2,872 : 4,270 = 4,270 : x - Step 2: Convert to fraction form
2,872/4,270 = 4,270/x - Step 3: Cross multiply
2,872x = 4,270 × 4,270 - Step 4: Simplify right side
2,872x = 18,232,900 - Step 5: Solve for x
x = 18,232,900/2,872 - Step 6: Final answer
x = 6,348.50
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.