Finding the Third Proportional to 30,600 and 67,024
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Solution
The third proportional to 30,600 and 67,024 is: 146,804.46
Step by Step Solution
- Step 1: Write the proportion equation
30,600 : 67,024 = 67,024 : x - Step 2: Convert to fraction form
30,600/67,024 = 67,024/x - Step 3: Cross multiply
30,600x = 67,024 × 67,024 - Step 4: Simplify right side
30,600x = 4,492,216,576 - Step 5: Solve for x
x = 4,492,216,576/30,600 - Step 6: Final answer
x = 146,804.46
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.