Finding the Third Proportional to 10,176.75 and 21,813.75
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Solution
The third proportional to 10,176.75 and 21,813.75 is: 46,757.53
Step by Step Solution
- Step 1: Write the proportion equation
10,176.75 : 21,813.75 = 21,813.75 : x - Step 2: Convert to fraction form
10,176.75/21,813.75 = 21,813.75/x - Step 3: Cross multiply
10,176.75x = 21,813.75 × 21,813.75 - Step 4: Simplify right side
10,176.75x = 475,839,689.06 - Step 5: Solve for x
x = 475,839,689.06/10,176.75 - Step 6: Final answer
x = 46,757.53
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.