Finding the Third Proportional to 10,177 and 21,465
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Solution
The third proportional to 10,177 and 21,465 is: 45,273.29
Step by Step Solution
- Step 1: Write the proportion equation
10,177 : 21,465 = 21,465 : x - Step 2: Convert to fraction form
10,177/21,465 = 21,465/x - Step 3: Cross multiply
10,177x = 21,465 × 21,465 - Step 4: Simplify right side
10,177x = 460,746,225 - Step 5: Solve for x
x = 460,746,225/10,177 - Step 6: Final answer
x = 45,273.29
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.