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Finding the Third Proportional to 11,238 and 24,249

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Solution

The third proportional to 11,238 and 24,249 is: 52,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238 : 24,249 = 24,249 : x
  2. Step 2: Convert to fraction form
    11,238/24,249 = 24,249/x
  3. Step 3: Cross multiply
    11,238x = 24,249 × 24,249
  4. Step 4: Simplify right side
    11,238x = 588,014,001
  5. Step 5: Solve for x
    x = 588,014,001/11,238
  6. Step 6: Final answer
    x = 52,323.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.