Finding the Third Proportional to 1,014 and 1,482
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Solution
The third proportional to 1,014 and 1,482 is: 2,166
Step by Step Solution
- Step 1: Write the proportion equation
1,014 : 1,482 = 1,482 : x - Step 2: Convert to fraction form
1,014/1,482 = 1,482/x - Step 3: Cross multiply
1,014x = 1,482 × 1,482 - Step 4: Simplify right side
1,014x = 2,196,324 - Step 5: Solve for x
x = 2,196,324/1,014 - Step 6: Final answer
x = 2,166
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.