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Finding the Third Proportional to 2,251.44 and 4,892.22

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Solution

The third proportional to 2,251.44 and 4,892.22 is: 10,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.44 : 4,892.22 = 4,892.22 : x
  2. Step 2: Convert to fraction form
    2,251.44/4,892.22 = 4,892.22/x
  3. Step 3: Cross multiply
    2,251.44x = 4,892.22 × 4,892.22
  4. Step 4: Simplify right side
    2,251.44x = 23,933,823.41
  5. Step 5: Solve for x
    x = 23,933,823.41/2,251.44
  6. Step 6: Final answer
    x = 10,630.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.