Finding the Third Proportional to 31,783.50 and 42,195
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Solution
The third proportional to 31,783.50 and 42,195 is: 56,017.05
Step by Step Solution
- Step 1: Write the proportion equation
31,783.50 : 42,195 = 42,195 : x - Step 2: Convert to fraction form
31,783.50/42,195 = 42,195/x - Step 3: Cross multiply
31,783.50x = 42,195 × 42,195 - Step 4: Simplify right side
31,783.50x = 1,780,418,025 - Step 5: Solve for x
x = 1,780,418,025/31,783.50 - Step 6: Final answer
x = 56,017.05
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.