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Finding the Third Proportional to 11,629 and 25,228

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Solution

The third proportional to 11,629 and 25,228 is: 54,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629 : 25,228 = 25,228 : x
  2. Step 2: Convert to fraction form
    11,629/25,228 = 25,228/x
  3. Step 3: Cross multiply
    11,629x = 25,228 × 25,228
  4. Step 4: Simplify right side
    11,629x = 636,451,984
  5. Step 5: Solve for x
    x = 636,451,984/11,629
  6. Step 6: Final answer
    x = 54,729.73

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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.