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Finding the Third Proportional to 18,982 and 28,817

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Solution

The third proportional to 18,982 and 28,817 is: 43,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,982 : 28,817 = 28,817 : x
  2. Step 2: Convert to fraction form
    18,982/28,817 = 28,817/x
  3. Step 3: Cross multiply
    18,982x = 28,817 × 28,817
  4. Step 4: Simplify right side
    18,982x = 830,419,489
  5. Step 5: Solve for x
    x = 830,419,489/18,982
  6. Step 6: Final answer
    x = 43,747.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.