Finding the Third Proportional to 4,576 and 9,862
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Solution
The third proportional to 4,576 and 9,862 is: 21,254.16
Step by Step Solution
- Step 1: Write the proportion equation
4,576 : 9,862 = 9,862 : x - Step 2: Convert to fraction form
4,576/9,862 = 9,862/x - Step 3: Cross multiply
4,576x = 9,862 × 9,862 - Step 4: Simplify right side
4,576x = 97,259,044 - Step 5: Solve for x
x = 97,259,044/4,576 - Step 6: Final answer
x = 21,254.16
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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.