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Finding the Third Proportional to 2,161.37 and 5,100.15

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Solution

The third proportional to 2,161.37 and 5,100.15 is: 12,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.37 : 5,100.15 = 5,100.15 : x
  2. Step 2: Convert to fraction form
    2,161.37/5,100.15 = 5,100.15/x
  3. Step 3: Cross multiply
    2,161.37x = 5,100.15 × 5,100.15
  4. Step 4: Simplify right side
    2,161.37x = 26,011,553.93
  5. Step 5: Solve for x
    x = 26,011,553.93/2,161.37
  6. Step 6: Final answer
    x = 12,034.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.