Finding the Third Proportional to 6,874 and 10,104
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Solution
The third proportional to 6,874 and 10,104 is: 14,851.73
Step by Step Solution
- Step 1: Write the proportion equation
6,874 : 10,104 = 10,104 : x - Step 2: Convert to fraction form
6,874/10,104 = 10,104/x - Step 3: Cross multiply
6,874x = 10,104 × 10,104 - Step 4: Simplify right side
6,874x = 102,090,816 - Step 5: Solve for x
x = 102,090,816/6,874 - Step 6: Final answer
x = 14,851.73
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.