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Finding the Third Proportional to 21,404.25 and 28,404

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Solution

The third proportional to 21,404.25 and 28,404 is: 37,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,404.25 : 28,404 = 28,404 : x
  2. Step 2: Convert to fraction form
    21,404.25/28,404 = 28,404/x
  3. Step 3: Cross multiply
    21,404.25x = 28,404 × 28,404
  4. Step 4: Simplify right side
    21,404.25x = 806,787,216
  5. Step 5: Solve for x
    x = 806,787,216/21,404.25
  6. Step 6: Final answer
    x = 37,692.85

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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.