Finding the Third Proportional to 12,902 and 17,410
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Solution
The third proportional to 12,902 and 17,410 is: 23,493.11
Step by Step Solution
- Step 1: Write the proportion equation
12,902 : 17,410 = 17,410 : x - Step 2: Convert to fraction form
12,902/17,410 = 17,410/x - Step 3: Cross multiply
12,902x = 17,410 × 17,410 - Step 4: Simplify right side
12,902x = 303,108,100 - Step 5: Solve for x
x = 303,108,100/12,902 - Step 6: Final answer
x = 23,493.11
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.