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Finding the Third Proportional to 21,404 and 28,408.50

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Solution

The third proportional to 21,404 and 28,408.50 is: 37,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,404 : 28,408.50 = 28,408.50 : x
  2. Step 2: Convert to fraction form
    21,404/28,408.50 = 28,408.50/x
  3. Step 3: Cross multiply
    21,404x = 28,408.50 × 28,408.50
  4. Step 4: Simplify right side
    21,404x = 807,042,872.25
  5. Step 5: Solve for x
    x = 807,042,872.25/21,404
  6. Step 6: Final answer
    x = 37,705.24

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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.