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Finding the Third Proportional to 18,474 and 38,037

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Solution

The third proportional to 18,474 and 38,037 is: 78,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,474 : 38,037 = 38,037 : x
  2. Step 2: Convert to fraction form
    18,474/38,037 = 38,037/x
  3. Step 3: Cross multiply
    18,474x = 38,037 × 38,037
  4. Step 4: Simplify right side
    18,474x = 1,446,813,369
  5. Step 5: Solve for x
    x = 1,446,813,369/18,474
  6. Step 6: Final answer
    x = 78,316.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.