Finding the Third Proportional to 2,700 and 5,940
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Solution
The third proportional to 2,700 and 5,940 is: 13,068
Step by Step Solution
- Step 1: Write the proportion equation
2,700 : 5,940 = 5,940 : x - Step 2: Convert to fraction form
2,700/5,940 = 5,940/x - Step 3: Cross multiply
2,700x = 5,940 × 5,940 - Step 4: Simplify right side
2,700x = 35,283,600 - Step 5: Solve for x
x = 35,283,600/2,700 - Step 6: Final answer
x = 13,068
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.