Finding the Third Proportional to 956 and 1,454
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Solution
The third proportional to 956 and 1,454 is: 2,211.42
Step by Step Solution
- Step 1: Write the proportion equation
956 : 1,454 = 1,454 : x - Step 2: Convert to fraction form
956/1,454 = 1,454/x - Step 3: Cross multiply
956x = 1,454 × 1,454 - Step 4: Simplify right side
956x = 2,114,116 - Step 5: Solve for x
x = 2,114,116/956 - Step 6: Final answer
x = 2,211.42
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.