Finding the Third Proportional to 2,437 and 3,876
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Solution
The third proportional to 2,437 and 3,876 is: 6,164.70
Step by Step Solution
- Step 1: Write the proportion equation
2,437 : 3,876 = 3,876 : x - Step 2: Convert to fraction form
2,437/3,876 = 3,876/x - Step 3: Cross multiply
2,437x = 3,876 × 3,876 - Step 4: Simplify right side
2,437x = 15,023,376 - Step 5: Solve for x
x = 15,023,376/2,437 - Step 6: Final answer
x = 6,164.70
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.