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Finding the Third Proportional to 16,647 and 22,270.50

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Solution

The third proportional to 16,647 and 22,270.50 is: 29,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647 : 22,270.50 = 22,270.50 : x
  2. Step 2: Convert to fraction form
    16,647/22,270.50 = 22,270.50/x
  3. Step 3: Cross multiply
    16,647x = 22,270.50 × 22,270.50
  4. Step 4: Simplify right side
    16,647x = 495,975,170.25
  5. Step 5: Solve for x
    x = 495,975,170.25/16,647
  6. Step 6: Final answer
    x = 29,793.67

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.