Finding the Third Proportional to 21,830 and 33,371
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Solution
The third proportional to 21,830 and 33,371 is: 51,013.45
Step by Step Solution
- Step 1: Write the proportion equation
21,830 : 33,371 = 33,371 : x - Step 2: Convert to fraction form
21,830/33,371 = 33,371/x - Step 3: Cross multiply
21,830x = 33,371 × 33,371 - Step 4: Simplify right side
21,830x = 1,113,623,641 - Step 5: Solve for x
x = 1,113,623,641/21,830 - Step 6: Final answer
x = 51,013.45
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.