Finding the Third Proportional to 10,214 and 14,502
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Solution
The third proportional to 10,214 and 14,502 is: 20,590.17
Step by Step Solution
- Step 1: Write the proportion equation
10,214 : 14,502 = 14,502 : x - Step 2: Convert to fraction form
10,214/14,502 = 14,502/x - Step 3: Cross multiply
10,214x = 14,502 × 14,502 - Step 4: Simplify right side
10,214x = 210,308,004 - Step 5: Solve for x
x = 210,308,004/10,214 - Step 6: Final answer
x = 20,590.17
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.