Finding the Third Proportional to 1,042 and 2,290
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Solution
The third proportional to 1,042 and 2,290 is: 5,032.73
Step by Step Solution
- Step 1: Write the proportion equation
1,042 : 2,290 = 2,290 : x - Step 2: Convert to fraction form
1,042/2,290 = 2,290/x - Step 3: Cross multiply
1,042x = 2,290 × 2,290 - Step 4: Simplify right side
1,042x = 5,244,100 - Step 5: Solve for x
x = 5,244,100/1,042 - Step 6: Final answer
x = 5,032.73
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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.