Finding the Third Proportional to 2,106 and 3,364
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Solution
The third proportional to 2,106 and 3,364 is: 5,373.45
Step by Step Solution
- Step 1: Write the proportion equation
2,106 : 3,364 = 3,364 : x - Step 2: Convert to fraction form
2,106/3,364 = 3,364/x - Step 3: Cross multiply
2,106x = 3,364 × 3,364 - Step 4: Simplify right side
2,106x = 11,316,496 - Step 5: Solve for x
x = 11,316,496/2,106 - Step 6: Final answer
x = 5,373.45
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.