Finding the Third Proportional to 9,898 and 21,412
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Solution
The third proportional to 9,898 and 21,412 is: 46,319.84
Step by Step Solution
- Step 1: Write the proportion equation
9,898 : 21,412 = 21,412 : x - Step 2: Convert to fraction form
9,898/21,412 = 21,412/x - Step 3: Cross multiply
9,898x = 21,412 × 21,412 - Step 4: Simplify right side
9,898x = 458,473,744 - Step 5: Solve for x
x = 458,473,744/9,898 - Step 6: Final answer
x = 46,319.84
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.