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Finding the Third Proportional to 11,822 and 25,224

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Solution

The third proportional to 11,822 and 25,224 is: 53,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822 : 25,224 = 25,224 : x
  2. Step 2: Convert to fraction form
    11,822/25,224 = 25,224/x
  3. Step 3: Cross multiply
    11,822x = 25,224 × 25,224
  4. Step 4: Simplify right side
    11,822x = 636,250,176
  5. Step 5: Solve for x
    x = 636,250,176/11,822
  6. Step 6: Final answer
    x = 53,819.17

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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.