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Finding the Third Proportional to 18,476 and 27,733

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Solution

The third proportional to 18,476 and 27,733 is: 41,628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,476 : 27,733 = 27,733 : x
  2. Step 2: Convert to fraction form
    18,476/27,733 = 27,733/x
  3. Step 3: Cross multiply
    18,476x = 27,733 × 27,733
  4. Step 4: Simplify right side
    18,476x = 769,119,289
  5. Step 5: Solve for x
    x = 769,119,289/18,476
  6. Step 6: Final answer
    x = 41,628.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.