Finding the Third Proportional to 10,454 and 21,421
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Solution
The third proportional to 10,454 and 21,421 is: 43,893.17
Step by Step Solution
- Step 1: Write the proportion equation
10,454 : 21,421 = 21,421 : x - Step 2: Convert to fraction form
10,454/21,421 = 21,421/x - Step 3: Cross multiply
10,454x = 21,421 × 21,421 - Step 4: Simplify right side
10,454x = 458,859,241 - Step 5: Solve for x
x = 458,859,241/10,454 - Step 6: Final answer
x = 43,893.17
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.