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Finding the Third Proportional to 22,027 and 35,467

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Solution

The third proportional to 22,027 and 35,467 is: 57,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,027 : 35,467 = 35,467 : x
  2. Step 2: Convert to fraction form
    22,027/35,467 = 35,467/x
  3. Step 3: Cross multiply
    22,027x = 35,467 × 35,467
  4. Step 4: Simplify right side
    22,027x = 1,257,908,089
  5. Step 5: Solve for x
    x = 1,257,908,089/22,027
  6. Step 6: Final answer
    x = 57,107.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.