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Finding the Third Proportional to 14,768.72 and 32,408.16

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Solution

The third proportional to 14,768.72 and 32,408.16 is: 71,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.72 : 32,408.16 = 32,408.16 : x
  2. Step 2: Convert to fraction form
    14,768.72/32,408.16 = 32,408.16/x
  3. Step 3: Cross multiply
    14,768.72x = 32,408.16 × 32,408.16
  4. Step 4: Simplify right side
    14,768.72x = 1,050,288,591.52
  5. Step 5: Solve for x
    x = 1,050,288,591.52/14,768.72
  6. Step 6: Final answer
    x = 71,115.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.