Finding the Third Proportional to 4,107.09 and 6,416.44
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Solution
The third proportional to 4,107.09 and 6,416.44 is: 10,024.28
Step by Step Solution
- Step 1: Write the proportion equation
4,107.09 : 6,416.44 = 6,416.44 : x - Step 2: Convert to fraction form
4,107.09/6,416.44 = 6,416.44/x - Step 3: Cross multiply
4,107.09x = 6,416.44 × 6,416.44 - Step 4: Simplify right side
4,107.09x = 41,170,670.19 - Step 5: Solve for x
x = 41,170,670.19/4,107.09 - Step 6: Final answer
x = 10,024.28
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.