Finding the Third Proportional to 1,056 and 2,297
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Solution
The third proportional to 1,056 and 2,297 is: 4,996.41
Step by Step Solution
- Step 1: Write the proportion equation
1,056 : 2,297 = 2,297 : x - Step 2: Convert to fraction form
1,056/2,297 = 2,297/x - Step 3: Cross multiply
1,056x = 2,297 × 2,297 - Step 4: Simplify right side
1,056x = 5,276,209 - Step 5: Solve for x
x = 5,276,209/1,056 - Step 6: Final answer
x = 4,996.41
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.