Finding the Third Proportional to 10,823.63 and 22,497.75
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Solution
The third proportional to 10,823.63 and 22,497.75 is: 46,763.33
Step by Step Solution
- Step 1: Write the proportion equation
10,823.63 : 22,497.75 = 22,497.75 : x - Step 2: Convert to fraction form
10,823.63/22,497.75 = 22,497.75/x - Step 3: Cross multiply
10,823.63x = 22,497.75 × 22,497.75 - Step 4: Simplify right side
10,823.63x = 506,148,755.06 - Step 5: Solve for x
x = 506,148,755.06/10,823.63 - Step 6: Final answer
x = 46,763.33
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.