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Finding the Third Proportional to 11,340 and 24,039

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Solution

The third proportional to 11,340 and 24,039 is: 50,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340 : 24,039 = 24,039 : x
  2. Step 2: Convert to fraction form
    11,340/24,039 = 24,039/x
  3. Step 3: Cross multiply
    11,340x = 24,039 × 24,039
  4. Step 4: Simplify right side
    11,340x = 577,873,521
  5. Step 5: Solve for x
    x = 577,873,521/11,340
  6. Step 6: Final answer
    x = 50,958.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.