Finding the Third Proportional to 14,724 and 31,432.50
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Solution
The third proportional to 14,724 and 31,432.50 is: 67,101.47
Step by Step Solution
- Step 1: Write the proportion equation
14,724 : 31,432.50 = 31,432.50 : x - Step 2: Convert to fraction form
14,724/31,432.50 = 31,432.50/x - Step 3: Cross multiply
14,724x = 31,432.50 × 31,432.50 - Step 4: Simplify right side
14,724x = 988,002,056.25 - Step 5: Solve for x
x = 988,002,056.25/14,724 - Step 6: Final answer
x = 67,101.47
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.