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Finding the Third Proportional to 21,591 and 28,698

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Solution

The third proportional to 21,591 and 28,698 is: 38,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,591 : 28,698 = 28,698 : x
  2. Step 2: Convert to fraction form
    21,591/28,698 = 28,698/x
  3. Step 3: Cross multiply
    21,591x = 28,698 × 28,698
  4. Step 4: Simplify right side
    21,591x = 823,575,204
  5. Step 5: Solve for x
    x = 823,575,204/21,591
  6. Step 6: Final answer
    x = 38,144.38

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.