Finding the Third Proportional to 47,076 and 100,974
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Solution
The third proportional to 47,076 and 100,974 is: 216,580.61
Step by Step Solution
- Step 1: Write the proportion equation
47,076 : 100,974 = 100,974 : x - Step 2: Convert to fraction form
47,076/100,974 = 100,974/x - Step 3: Cross multiply
47,076x = 100,974 × 100,974 - Step 4: Simplify right side
47,076x = 10,195,748,676 - Step 5: Solve for x
x = 10,195,748,676/47,076 - Step 6: Final answer
x = 216,580.61
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.