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Finding the Third Proportional to 18,024 and 38,648

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Solution

The third proportional to 18,024 and 38,648 is: 82,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024 : 38,648 = 38,648 : x
  2. Step 2: Convert to fraction form
    18,024/38,648 = 38,648/x
  3. Step 3: Cross multiply
    18,024x = 38,648 × 38,648
  4. Step 4: Simplify right side
    18,024x = 1,493,667,904
  5. Step 5: Solve for x
    x = 1,493,667,904/18,024
  6. Step 6: Final answer
    x = 82,871.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.