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Finding the Third Proportional to 20,017 and 29,983

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Solution

The third proportional to 20,017 and 29,983 is: 44,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,017 : 29,983 = 29,983 : x
  2. Step 2: Convert to fraction form
    20,017/29,983 = 29,983/x
  3. Step 3: Cross multiply
    20,017x = 29,983 × 29,983
  4. Step 4: Simplify right side
    20,017x = 898,980,289
  5. Step 5: Solve for x
    x = 898,980,289/20,017
  6. Step 6: Final answer
    x = 44,910.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.