Finding the Third Proportional to 2,102.06 and 5,153.06
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Solution
The third proportional to 2,102.06 and 5,153.06 is: 12,632.38
Step by Step Solution
- Step 1: Write the proportion equation
2,102.06 : 5,153.06 = 5,153.06 : x - Step 2: Convert to fraction form
2,102.06/5,153.06 = 5,153.06/x - Step 3: Cross multiply
2,102.06x = 5,153.06 × 5,153.06 - Step 4: Simplify right side
2,102.06x = 26,554,053.13 - Step 5: Solve for x
x = 26,554,053.13/2,102.06 - Step 6: Final answer
x = 12,632.38
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Why These Related Problems?
These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.