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Finding the Third Proportional to 24,212 and 52,249

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Solution

The third proportional to 24,212 and 52,249 is: 112,752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,212 : 52,249 = 52,249 : x
  2. Step 2: Convert to fraction form
    24,212/52,249 = 52,249/x
  3. Step 3: Cross multiply
    24,212x = 52,249 × 52,249
  4. Step 4: Simplify right side
    24,212x = 2,729,958,001
  5. Step 5: Solve for x
    x = 2,729,958,001/24,212
  6. Step 6: Final answer
    x = 112,752.27

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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.