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Finding the Third Proportional to 16,041 and 38,644

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Solution

The third proportional to 16,041 and 38,644 is: 93,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,041 : 38,644 = 38,644 : x
  2. Step 2: Convert to fraction form
    16,041/38,644 = 38,644/x
  3. Step 3: Cross multiply
    16,041x = 38,644 × 38,644
  4. Step 4: Simplify right side
    16,041x = 1,493,358,736
  5. Step 5: Solve for x
    x = 1,493,358,736/16,041
  6. Step 6: Final answer
    x = 93,096.36

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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.