Finding the Third Proportional to 9,669 and 10,398
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Solution
The third proportional to 9,669 and 10,398 is: 11,181.96
Step by Step Solution
- Step 1: Write the proportion equation
9,669 : 10,398 = 10,398 : x - Step 2: Convert to fraction form
9,669/10,398 = 10,398/x - Step 3: Cross multiply
9,669x = 10,398 × 10,398 - Step 4: Simplify right side
9,669x = 108,118,404 - Step 5: Solve for x
x = 108,118,404/9,669 - Step 6: Final answer
x = 11,181.96
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.