Finding the Third Proportional to 6,462 and 10,989
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Solution
The third proportional to 6,462 and 10,989 is: 18,687.42
Step by Step Solution
- Step 1: Write the proportion equation
6,462 : 10,989 = 10,989 : x - Step 2: Convert to fraction form
6,462/10,989 = 10,989/x - Step 3: Cross multiply
6,462x = 10,989 × 10,989 - Step 4: Simplify right side
6,462x = 120,758,121 - Step 5: Solve for x
x = 120,758,121/6,462 - Step 6: Final answer
x = 18,687.42
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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.