Finding the Third Proportional to 31,468.50 and 68,472
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Solution
The third proportional to 31,468.50 and 68,472 is: 148,987.55
Step by Step Solution
- Step 1: Write the proportion equation
31,468.50 : 68,472 = 68,472 : x - Step 2: Convert to fraction form
31,468.50/68,472 = 68,472/x - Step 3: Cross multiply
31,468.50x = 68,472 × 68,472 - Step 4: Simplify right side
31,468.50x = 4,688,414,784 - Step 5: Solve for x
x = 4,688,414,784/31,468.50 - Step 6: Final answer
x = 148,987.55
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.