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Finding the Third Proportional to 13,452.75 and 18,466.88

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Solution

The third proportional to 13,452.75 and 18,466.88 is: 25,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.75 : 18,466.88 = 18,466.88 : x
  2. Step 2: Convert to fraction form
    13,452.75/18,466.88 = 18,466.88/x
  3. Step 3: Cross multiply
    13,452.75x = 18,466.88 × 18,466.88
  4. Step 4: Simplify right side
    13,452.75x = 341,025,472.27
  5. Step 5: Solve for x
    x = 341,025,472.27/13,452.75
  6. Step 6: Final answer
    x = 25,349.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.