Finding the Third Proportional to 29,696 and 64,000
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Solution
The third proportional to 29,696 and 64,000 is: 137,931.03
Step by Step Solution
- Step 1: Write the proportion equation
29,696 : 64,000 = 64,000 : x - Step 2: Convert to fraction form
29,696/64,000 = 64,000/x - Step 3: Cross multiply
29,696x = 64,000 × 64,000 - Step 4: Simplify right side
29,696x = 4,096,000,000 - Step 5: Solve for x
x = 4,096,000,000/29,696 - Step 6: Final answer
x = 137,931.03
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.