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Finding the Third Proportional to 11,434 and 24,404

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Solution

The third proportional to 11,434 and 24,404 is: 52,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434 : 24,404 = 24,404 : x
  2. Step 2: Convert to fraction form
    11,434/24,404 = 24,404/x
  3. Step 3: Cross multiply
    11,434x = 24,404 × 24,404
  4. Step 4: Simplify right side
    11,434x = 595,555,216
  5. Step 5: Solve for x
    x = 595,555,216/11,434
  6. Step 6: Final answer
    x = 52,086.34

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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.