Finding the Third Proportional to 8,223.19 and 12,335.63
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Solution
The third proportional to 8,223.19 and 12,335.63 is: 18,504.70
Step by Step Solution
- Step 1: Write the proportion equation
8,223.19 : 12,335.63 = 12,335.63 : x - Step 2: Convert to fraction form
8,223.19/12,335.63 = 12,335.63/x - Step 3: Cross multiply
8,223.19x = 12,335.63 × 12,335.63 - Step 4: Simplify right side
8,223.19x = 152,167,644.14 - Step 5: Solve for x
x = 152,167,644.14/8,223.19 - Step 6: Final answer
x = 18,504.70
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.