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Finding the Third Proportional to 9,734 and 22,067

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Solution

The third proportional to 9,734 and 22,067 is: 50,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734 : 22,067 = 22,067 : x
  2. Step 2: Convert to fraction form
    9,734/22,067 = 22,067/x
  3. Step 3: Cross multiply
    9,734x = 22,067 × 22,067
  4. Step 4: Simplify right side
    9,734x = 486,952,489
  5. Step 5: Solve for x
    x = 486,952,489/9,734
  6. Step 6: Final answer
    x = 50,025.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.