Finding the Third Proportional to 814 and 1,056
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Solution
The third proportional to 814 and 1,056 is: 1,369.95
Step by Step Solution
- Step 1: Write the proportion equation
814 : 1,056 = 1,056 : x - Step 2: Convert to fraction form
814/1,056 = 1,056/x - Step 3: Cross multiply
814x = 1,056 × 1,056 - Step 4: Simplify right side
814x = 1,115,136 - Step 5: Solve for x
x = 1,115,136/814 - Step 6: Final answer
x = 1,369.95
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.