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Finding the Third Proportional to 2,211.05 and 3,332.39

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Solution

The third proportional to 2,211.05 and 3,332.39 is: 5,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.05 : 3,332.39 = 3,332.39 : x
  2. Step 2: Convert to fraction form
    2,211.05/3,332.39 = 3,332.39/x
  3. Step 3: Cross multiply
    2,211.05x = 3,332.39 × 3,332.39
  4. Step 4: Simplify right side
    2,211.05x = 11,104,827.28
  5. Step 5: Solve for x
    x = 11,104,827.28/2,211.05
  6. Step 6: Final answer
    x = 5,022.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.