Finding the Third Proportional to 11,740 and 14,140
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Solution
The third proportional to 11,740 and 14,140 is: 17,030.63
Step by Step Solution
- Step 1: Write the proportion equation
11,740 : 14,140 = 14,140 : x - Step 2: Convert to fraction form
11,740/14,140 = 14,140/x - Step 3: Cross multiply
11,740x = 14,140 × 14,140 - Step 4: Simplify right side
11,740x = 199,939,600 - Step 5: Solve for x
x = 199,939,600/11,740 - Step 6: Final answer
x = 17,030.63
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.