Finding the Third Proportional to 5,823.14 and 9,225.14
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Solution
The third proportional to 5,823.14 and 9,225.14 is: 14,614.66
Step by Step Solution
- Step 1: Write the proportion equation
5,823.14 : 9,225.14 = 9,225.14 : x - Step 2: Convert to fraction form
5,823.14/9,225.14 = 9,225.14/x - Step 3: Cross multiply
5,823.14x = 9,225.14 × 9,225.14 - Step 4: Simplify right side
5,823.14x = 85,103,219.55 - Step 5: Solve for x
x = 85,103,219.55/5,823.14 - Step 6: Final answer
x = 14,614.66
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.