Finding the Third Proportional to 9,764 and 23,044
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Solution
The third proportional to 9,764 and 23,044 is: 54,386.11
Step by Step Solution
- Step 1: Write the proportion equation
9,764 : 23,044 = 23,044 : x - Step 2: Convert to fraction form
9,764/23,044 = 23,044/x - Step 3: Cross multiply
9,764x = 23,044 × 23,044 - Step 4: Simplify right side
9,764x = 531,025,936 - Step 5: Solve for x
x = 531,025,936/9,764 - Step 6: Final answer
x = 54,386.11
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.