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Finding the Third Proportional to 16,774.59 and 38,249.72

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Solution

The third proportional to 16,774.59 and 38,249.72 is: 87,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,774.59 : 38,249.72 = 38,249.72 : x
  2. Step 2: Convert to fraction form
    16,774.59/38,249.72 = 38,249.72/x
  3. Step 3: Cross multiply
    16,774.59x = 38,249.72 × 38,249.72
  4. Step 4: Simplify right side
    16,774.59x = 1,463,040,984.45
  5. Step 5: Solve for x
    x = 1,463,040,984.45/16,774.59
  6. Step 6: Final answer
    x = 87,217.67

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.