Finding the Third Proportional to 7,823.25 and 16,296.19
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Solution
The third proportional to 7,823.25 and 16,296.19 is: 33,945.70
Step by Step Solution
- Step 1: Write the proportion equation
7,823.25 : 16,296.19 = 16,296.19 : x - Step 2: Convert to fraction form
7,823.25/16,296.19 = 16,296.19/x - Step 3: Cross multiply
7,823.25x = 16,296.19 × 16,296.19 - Step 4: Simplify right side
7,823.25x = 265,565,727.04 - Step 5: Solve for x
x = 265,565,727.04/7,823.25 - Step 6: Final answer
x = 33,945.70
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.