Finding the Third Proportional to 19,812 and 30,776
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Solution
The third proportional to 19,812 and 30,776 is: 47,807.50
Step by Step Solution
- Step 1: Write the proportion equation
19,812 : 30,776 = 30,776 : x - Step 2: Convert to fraction form
19,812/30,776 = 30,776/x - Step 3: Cross multiply
19,812x = 30,776 × 30,776 - Step 4: Simplify right side
19,812x = 947,162,176 - Step 5: Solve for x
x = 947,162,176/19,812 - Step 6: Final answer
x = 47,807.50
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.