Finding the Third Proportional to 922 and 2,024
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Solution
The third proportional to 922 and 2,024 is: 4,443.14
Step by Step Solution
- Step 1: Write the proportion equation
922 : 2,024 = 2,024 : x - Step 2: Convert to fraction form
922/2,024 = 2,024/x - Step 3: Cross multiply
922x = 2,024 × 2,024 - Step 4: Simplify right side
922x = 4,096,576 - Step 5: Solve for x
x = 4,096,576/922 - Step 6: Final answer
x = 4,443.14
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.