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Finding the Third Proportional to 20,489 and 30,922

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Solution

The third proportional to 20,489 and 30,922 is: 46,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489 : 30,922 = 30,922 : x
  2. Step 2: Convert to fraction form
    20,489/30,922 = 30,922/x
  3. Step 3: Cross multiply
    20,489x = 30,922 × 30,922
  4. Step 4: Simplify right side
    20,489x = 956,170,084
  5. Step 5: Solve for x
    x = 956,170,084/20,489
  6. Step 6: Final answer
    x = 46,667.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.