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Finding the Third Proportional to 11,229 and 24,399

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Solution

The third proportional to 11,229 and 24,399 is: 53,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229 : 24,399 = 24,399 : x
  2. Step 2: Convert to fraction form
    11,229/24,399 = 24,399/x
  3. Step 3: Cross multiply
    11,229x = 24,399 × 24,399
  4. Step 4: Simplify right side
    11,229x = 595,311,201
  5. Step 5: Solve for x
    x = 595,311,201/11,229
  6. Step 6: Final answer
    x = 53,015.51

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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.