Finding the Third Proportional to 1,024 and 1,056
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Solution
The third proportional to 1,024 and 1,056 is: 1,089
Step by Step Solution
- Step 1: Write the proportion equation
1,024 : 1,056 = 1,056 : x - Step 2: Convert to fraction form
1,024/1,056 = 1,056/x - Step 3: Cross multiply
1,024x = 1,056 × 1,056 - Step 4: Simplify right side
1,024x = 1,115,136 - Step 5: Solve for x
x = 1,115,136/1,024 - Step 6: Final answer
x = 1,089
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These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.