Finding the Third Proportional to 1,480 and 3,494
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Solution
The third proportional to 1,480 and 3,494 is: 8,248.67
Step by Step Solution
- Step 1: Write the proportion equation
1,480 : 3,494 = 3,494 : x - Step 2: Convert to fraction form
1,480/3,494 = 3,494/x - Step 3: Cross multiply
1,480x = 3,494 × 3,494 - Step 4: Simplify right side
1,480x = 12,208,036 - Step 5: Solve for x
x = 12,208,036/1,480 - Step 6: Final answer
x = 8,248.67
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.