Finding the Third Proportional to 16,963.50 and 38,097
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Solution
The third proportional to 16,963.50 and 38,097 is: 85,559.08
Step by Step Solution
- Step 1: Write the proportion equation
16,963.50 : 38,097 = 38,097 : x - Step 2: Convert to fraction form
16,963.50/38,097 = 38,097/x - Step 3: Cross multiply
16,963.50x = 38,097 × 38,097 - Step 4: Simplify right side
16,963.50x = 1,451,381,409 - Step 5: Solve for x
x = 1,451,381,409/16,963.50 - Step 6: Final answer
x = 85,559.08
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Why These Related Problems?
These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.