Finding the Third Proportional to 10,454 and 14,864
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Solution
The third proportional to 10,454 and 14,864 is: 21,134.35
Step by Step Solution
- Step 1: Write the proportion equation
10,454 : 14,864 = 14,864 : x - Step 2: Convert to fraction form
10,454/14,864 = 14,864/x - Step 3: Cross multiply
10,454x = 14,864 × 14,864 - Step 4: Simplify right side
10,454x = 220,938,496 - Step 5: Solve for x
x = 220,938,496/10,454 - Step 6: Final answer
x = 21,134.35
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.