Finding the Third Proportional to 880 and 1,748
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Solution
The third proportional to 880 and 1,748 is: 3,472.16
Step by Step Solution
- Step 1: Write the proportion equation
880 : 1,748 = 1,748 : x - Step 2: Convert to fraction form
880/1,748 = 1,748/x - Step 3: Cross multiply
880x = 1,748 × 1,748 - Step 4: Simplify right side
880x = 3,055,504 - Step 5: Solve for x
x = 3,055,504/880 - Step 6: Final answer
x = 3,472.16
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These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.