Finding the Third Proportional to 966 and 1,882
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Solution
The third proportional to 966 and 1,882 is: 3,666.59
Step by Step Solution
- Step 1: Write the proportion equation
966 : 1,882 = 1,882 : x - Step 2: Convert to fraction form
966/1,882 = 1,882/x - Step 3: Cross multiply
966x = 1,882 × 1,882 - Step 4: Simplify right side
966x = 3,541,924 - Step 5: Solve for x
x = 3,541,924/966 - Step 6: Final answer
x = 3,666.59
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.