Finding the Third Proportional to 1,560 and 2,340
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Solution
The third proportional to 1,560 and 2,340 is: 3,510
Step by Step Solution
- Step 1: Write the proportion equation
1,560 : 2,340 = 2,340 : x - Step 2: Convert to fraction form
1,560/2,340 = 2,340/x - Step 3: Cross multiply
1,560x = 2,340 × 2,340 - Step 4: Simplify right side
1,560x = 5,475,600 - Step 5: Solve for x
x = 5,475,600/1,560 - Step 6: Final answer
x = 3,510
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.