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Finding the Third Proportional to 20,655 and 42,399

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Solution

The third proportional to 20,655 and 42,399 is: 87,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,655 : 42,399 = 42,399 : x
  2. Step 2: Convert to fraction form
    20,655/42,399 = 42,399/x
  3. Step 3: Cross multiply
    20,655x = 42,399 × 42,399
  4. Step 4: Simplify right side
    20,655x = 1,797,675,201
  5. Step 5: Solve for x
    x = 1,797,675,201/20,655
  6. Step 6: Final answer
    x = 87,033.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.