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Finding the Third Proportional to 3,332.81 and 7,273.69

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Solution

The third proportional to 3,332.81 and 7,273.69 is: 15,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332.81 : 7,273.69 = 7,273.69 : x
  2. Step 2: Convert to fraction form
    3,332.81/7,273.69 = 7,273.69/x
  3. Step 3: Cross multiply
    3,332.81x = 7,273.69 × 7,273.69
  4. Step 4: Simplify right side
    3,332.81x = 52,906,529.85
  5. Step 5: Solve for x
    x = 52,906,529.85/3,332.81
  6. Step 6: Final answer
    x = 15,874.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.