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Finding the Third Proportional to 16,024 and 38,652

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Solution

The third proportional to 16,024 and 38,652 is: 93,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024 : 38,652 = 38,652 : x
  2. Step 2: Convert to fraction form
    16,024/38,652 = 38,652/x
  3. Step 3: Cross multiply
    16,024x = 38,652 × 38,652
  4. Step 4: Simplify right side
    16,024x = 1,493,977,104
  5. Step 5: Solve for x
    x = 1,493,977,104/16,024
  6. Step 6: Final answer
    x = 93,233.72

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.