Finding the Third Proportional to 1,270 and 2,796
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Solution
The third proportional to 1,270 and 2,796 is: 6,155.60
Step by Step Solution
- Step 1: Write the proportion equation
1,270 : 2,796 = 2,796 : x - Step 2: Convert to fraction form
1,270/2,796 = 2,796/x - Step 3: Cross multiply
1,270x = 2,796 × 2,796 - Step 4: Simplify right side
1,270x = 7,817,616 - Step 5: Solve for x
x = 7,817,616/1,270 - Step 6: Final answer
x = 6,155.60
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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.