Finding the Third Proportional to 9,762 and 22,917
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Solution
The third proportional to 9,762 and 22,917 is: 53,799.31
Step by Step Solution
- Step 1: Write the proportion equation
9,762 : 22,917 = 22,917 : x - Step 2: Convert to fraction form
9,762/22,917 = 22,917/x - Step 3: Cross multiply
9,762x = 22,917 × 22,917 - Step 4: Simplify right side
9,762x = 525,188,889 - Step 5: Solve for x
x = 525,188,889/9,762 - Step 6: Final answer
x = 53,799.31
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Why These Related Problems?
These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.