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Finding the Third Proportional to 16,540.75 and 39,014.75

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Solution

The third proportional to 16,540.75 and 39,014.75 is: 92,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.75 : 39,014.75 = 39,014.75 : x
  2. Step 2: Convert to fraction form
    16,540.75/39,014.75 = 39,014.75/x
  3. Step 3: Cross multiply
    16,540.75x = 39,014.75 × 39,014.75
  4. Step 4: Simplify right side
    16,540.75x = 1,522,150,717.56
  5. Step 5: Solve for x
    x = 1,522,150,717.56/16,540.75
  6. Step 6: Final answer
    x = 92,024.29

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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.