Finding the Third Proportional to 9,602 and 10,502
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Solution
The third proportional to 9,602 and 10,502 is: 11,486.36
Step by Step Solution
- Step 1: Write the proportion equation
9,602 : 10,502 = 10,502 : x - Step 2: Convert to fraction form
9,602/10,502 = 10,502/x - Step 3: Cross multiply
9,602x = 10,502 × 10,502 - Step 4: Simplify right side
9,602x = 110,292,004 - Step 5: Solve for x
x = 110,292,004/9,602 - Step 6: Final answer
x = 11,486.36
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.