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Finding the Third Proportional to 16,975 and 36,140

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Solution

The third proportional to 16,975 and 36,140 is: 76,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,975 : 36,140 = 36,140 : x
  2. Step 2: Convert to fraction form
    16,975/36,140 = 36,140/x
  3. Step 3: Cross multiply
    16,975x = 36,140 × 36,140
  4. Step 4: Simplify right side
    16,975x = 1,306,099,600
  5. Step 5: Solve for x
    x = 1,306,099,600/16,975
  6. Step 6: Final answer
    x = 76,942.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.