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Finding the Third Proportional to 18,474 and 39,573

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Solution

The third proportional to 18,474 and 39,573 is: 84,768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,474 : 39,573 = 39,573 : x
  2. Step 2: Convert to fraction form
    18,474/39,573 = 39,573/x
  3. Step 3: Cross multiply
    18,474x = 39,573 × 39,573
  4. Step 4: Simplify right side
    18,474x = 1,566,022,329
  5. Step 5: Solve for x
    x = 1,566,022,329/18,474
  6. Step 6: Final answer
    x = 84,768.99

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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.