Finding the Third Proportional to 9,763 and 21,470
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Solution
The third proportional to 9,763 and 21,470 is: 47,215.09
Step by Step Solution
- Step 1: Write the proportion equation
9,763 : 21,470 = 21,470 : x - Step 2: Convert to fraction form
9,763/21,470 = 21,470/x - Step 3: Cross multiply
9,763x = 21,470 × 21,470 - Step 4: Simplify right side
9,763x = 460,960,900 - Step 5: Solve for x
x = 460,960,900/9,763 - Step 6: Final answer
x = 47,215.09
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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.