Finding the Third Proportional to 10,078.50 and 14,330
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Solution
The third proportional to 10,078.50 and 14,330 is: 20,374.95
Step by Step Solution
- Step 1: Write the proportion equation
10,078.50 : 14,330 = 14,330 : x - Step 2: Convert to fraction form
10,078.50/14,330 = 14,330/x - Step 3: Cross multiply
10,078.50x = 14,330 × 14,330 - Step 4: Simplify right side
10,078.50x = 205,348,900 - Step 5: Solve for x
x = 205,348,900/10,078.50 - Step 6: Final answer
x = 20,374.95
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.