Finding the Third Proportional to 1,272 and 2,778
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Solution
The third proportional to 1,272 and 2,778 is: 6,067.05
Step by Step Solution
- Step 1: Write the proportion equation
1,272 : 2,778 = 2,778 : x - Step 2: Convert to fraction form
1,272/2,778 = 2,778/x - Step 3: Cross multiply
1,272x = 2,778 × 2,778 - Step 4: Simplify right side
1,272x = 7,717,284 - Step 5: Solve for x
x = 7,717,284/1,272 - Step 6: Final answer
x = 6,067.05
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.