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Finding the Third Proportional to 2,121.19 and 3,163.22

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Solution

The third proportional to 2,121.19 and 3,163.22 is: 4,717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.19 : 3,163.22 = 3,163.22 : x
  2. Step 2: Convert to fraction form
    2,121.19/3,163.22 = 3,163.22/x
  3. Step 3: Cross multiply
    2,121.19x = 3,163.22 × 3,163.22
  4. Step 4: Simplify right side
    2,121.19x = 10,005,952.86
  5. Step 5: Solve for x
    x = 10,005,952.86/2,121.19
  6. Step 6: Final answer
    x = 4,717.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.