Finding the Third Proportional to 22,848 and 33,414
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Solution
The third proportional to 22,848 and 33,414 is: 48,866.22
Step by Step Solution
- Step 1: Write the proportion equation
22,848 : 33,414 = 33,414 : x - Step 2: Convert to fraction form
22,848/33,414 = 33,414/x - Step 3: Cross multiply
22,848x = 33,414 × 33,414 - Step 4: Simplify right side
22,848x = 1,116,495,396 - Step 5: Solve for x
x = 1,116,495,396/22,848 - Step 6: Final answer
x = 48,866.22
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.