Finding the Third Proportional to 7,823.63 and 16,876.13
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Solution
The third proportional to 7,823.63 and 16,876.13 is: 36,403.02
Step by Step Solution
- Step 1: Write the proportion equation
7,823.63 : 16,876.13 = 16,876.13 : x - Step 2: Convert to fraction form
7,823.63/16,876.13 = 16,876.13/x - Step 3: Cross multiply
7,823.63x = 16,876.13 × 16,876.13 - Step 4: Simplify right side
7,823.63x = 284,803,595.02 - Step 5: Solve for x
x = 284,803,595.02/7,823.63 - Step 6: Final answer
x = 36,403.02
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.