Finding the Third Proportional to 7,705.13 and 16,235.44
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Solution
The third proportional to 7,705.13 and 16,235.44 is: 34,209.62
Step by Step Solution
- Step 1: Write the proportion equation
7,705.13 : 16,235.44 = 16,235.44 : x - Step 2: Convert to fraction form
7,705.13/16,235.44 = 16,235.44/x - Step 3: Cross multiply
7,705.13x = 16,235.44 × 16,235.44 - Step 4: Simplify right side
7,705.13x = 263,589,430.82 - Step 5: Solve for x
x = 263,589,430.82/7,705.13 - Step 6: Final answer
x = 34,209.62
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.