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Finding the Third Proportional to 1,076.41 and 2,221.17

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Solution

The third proportional to 1,076.41 and 2,221.17 is: 4,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.41 : 2,221.17 = 2,221.17 : x
  2. Step 2: Convert to fraction form
    1,076.41/2,221.17 = 2,221.17/x
  3. Step 3: Cross multiply
    1,076.41x = 2,221.17 × 2,221.17
  4. Step 4: Simplify right side
    1,076.41x = 4,933,604.50
  5. Step 5: Solve for x
    x = 4,933,604.50/1,076.41
  6. Step 6: Final answer
    x = 4,583.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.