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Finding the Third Proportional to 20,438 and 33,718

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Solution

The third proportional to 20,438 and 33,718 is: 55,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438 : 33,718 = 33,718 : x
  2. Step 2: Convert to fraction form
    20,438/33,718 = 33,718/x
  3. Step 3: Cross multiply
    20,438x = 33,718 × 33,718
  4. Step 4: Simplify right side
    20,438x = 1,136,903,524
  5. Step 5: Solve for x
    x = 1,136,903,524/20,438
  6. Step 6: Final answer
    x = 55,626.95

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.