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Finding the Third Proportional to 16,408.50 and 35,824.50

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Solution

The third proportional to 16,408.50 and 35,824.50 is: 78,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.50 : 35,824.50 = 35,824.50 : x
  2. Step 2: Convert to fraction form
    16,408.50/35,824.50 = 35,824.50/x
  3. Step 3: Cross multiply
    16,408.50x = 35,824.50 × 35,824.50
  4. Step 4: Simplify right side
    16,408.50x = 1,283,394,800.25
  5. Step 5: Solve for x
    x = 1,283,394,800.25/16,408.50
  6. Step 6: Final answer
    x = 78,215.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.