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Finding the Third Proportional to 11,450 and 24,400

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Solution

The third proportional to 11,450 and 24,400 is: 51,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450 : 24,400 = 24,400 : x
  2. Step 2: Convert to fraction form
    11,450/24,400 = 24,400/x
  3. Step 3: Cross multiply
    11,450x = 24,400 × 24,400
  4. Step 4: Simplify right side
    11,450x = 595,360,000
  5. Step 5: Solve for x
    x = 595,360,000/11,450
  6. Step 6: Final answer
    x = 51,996.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.