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Finding the Third Proportional to 8,601.75 and 13,149.38

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Solution

The third proportional to 8,601.75 and 13,149.38 is: 20,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.75 : 13,149.38 = 13,149.38 : x
  2. Step 2: Convert to fraction form
    8,601.75/13,149.38 = 13,149.38/x
  3. Step 3: Cross multiply
    8,601.75x = 13,149.38 × 13,149.38
  4. Step 4: Simplify right side
    8,601.75x = 172,906,062.89
  5. Step 5: Solve for x
    x = 172,906,062.89/8,601.75
  6. Step 6: Final answer
    x = 20,101.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.