Finding the Third Proportional to 30,946 and 72,306
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Solution
The third proportional to 30,946 and 72,306 is: 168,944.54
Step by Step Solution
- Step 1: Write the proportion equation
30,946 : 72,306 = 72,306 : x - Step 2: Convert to fraction form
30,946/72,306 = 72,306/x - Step 3: Cross multiply
30,946x = 72,306 × 72,306 - Step 4: Simplify right side
30,946x = 5,228,157,636 - Step 5: Solve for x
x = 5,228,157,636/30,946 - Step 6: Final answer
x = 168,944.54
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.