Finding the Third Proportional to 2,960.14 and 6,477.68
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Solution
The third proportional to 2,960.14 and 6,477.68 is: 14,175.12
Step by Step Solution
- Step 1: Write the proportion equation
2,960.14 : 6,477.68 = 6,477.68 : x - Step 2: Convert to fraction form
2,960.14/6,477.68 = 6,477.68/x - Step 3: Cross multiply
2,960.14x = 6,477.68 × 6,477.68 - Step 4: Simplify right side
2,960.14x = 41,960,334.13 - Step 5: Solve for x
x = 41,960,334.13/2,960.14 - Step 6: Final answer
x = 14,175.12
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.