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Finding the Third Proportional to 4,222.13 and 8,250.19

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Solution

The third proportional to 4,222.13 and 8,250.19 is: 16,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.13 : 8,250.19 = 8,250.19 : x
  2. Step 2: Convert to fraction form
    4,222.13/8,250.19 = 8,250.19/x
  3. Step 3: Cross multiply
    4,222.13x = 8,250.19 × 8,250.19
  4. Step 4: Simplify right side
    4,222.13x = 68,065,593.79
  5. Step 5: Solve for x
    x = 68,065,593.79/4,222.13
  6. Step 6: Final answer
    x = 16,121.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.