Finding the Third Proportional to 9,848 and 22,451
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Solution
The third proportional to 9,848 and 22,451 is: 51,182.72
Step by Step Solution
- Step 1: Write the proportion equation
9,848 : 22,451 = 22,451 : x - Step 2: Convert to fraction form
9,848/22,451 = 22,451/x - Step 3: Cross multiply
9,848x = 22,451 × 22,451 - Step 4: Simplify right side
9,848x = 504,047,401 - Step 5: Solve for x
x = 504,047,401/9,848 - Step 6: Final answer
x = 51,182.72
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Why These Related Problems?
These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.