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Finding the Third Proportional to 8,672.75 and 20,466.38

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Solution

The third proportional to 8,672.75 and 20,466.38 is: 48,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.75 : 20,466.38 = 20,466.38 : x
  2. Step 2: Convert to fraction form
    8,672.75/20,466.38 = 20,466.38/x
  3. Step 3: Cross multiply
    8,672.75x = 20,466.38 × 20,466.38
  4. Step 4: Simplify right side
    8,672.75x = 418,872,505.64
  5. Step 5: Solve for x
    x = 418,872,505.64/8,672.75
  6. Step 6: Final answer
    x = 48,297.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.