Finding the Third Proportional to 6,738 and 14,702
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Solution
The third proportional to 6,738 and 14,702 is: 32,079.07
Step by Step Solution
- Step 1: Write the proportion equation
6,738 : 14,702 = 14,702 : x - Step 2: Convert to fraction form
6,738/14,702 = 14,702/x - Step 3: Cross multiply
6,738x = 14,702 × 14,702 - Step 4: Simplify right side
6,738x = 216,148,804 - Step 5: Solve for x
x = 216,148,804/6,738 - Step 6: Final answer
x = 32,079.07
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.