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Finding the Third Proportional to 17,940 and 38,247

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Solution

The third proportional to 17,940 and 38,247 is: 81,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,940 : 38,247 = 38,247 : x
  2. Step 2: Convert to fraction form
    17,940/38,247 = 38,247/x
  3. Step 3: Cross multiply
    17,940x = 38,247 × 38,247
  4. Step 4: Simplify right side
    17,940x = 1,462,833,009
  5. Step 5: Solve for x
    x = 1,462,833,009/17,940
  6. Step 6: Final answer
    x = 81,540.30

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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.