Finding the Third Proportional to 1,409 and 2,132
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Solution
The third proportional to 1,409 and 2,132 is: 3,225.99
Step by Step Solution
- Step 1: Write the proportion equation
1,409 : 2,132 = 2,132 : x - Step 2: Convert to fraction form
1,409/2,132 = 2,132/x - Step 3: Cross multiply
1,409x = 2,132 × 2,132 - Step 4: Simplify right side
1,409x = 4,545,424 - Step 5: Solve for x
x = 4,545,424/1,409 - Step 6: Final answer
x = 3,225.99
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.