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Finding the Third Proportional to 18,576 and 39,092

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Solution

The third proportional to 18,576 and 39,092 is: 82,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576 : 39,092 = 39,092 : x
  2. Step 2: Convert to fraction form
    18,576/39,092 = 39,092/x
  3. Step 3: Cross multiply
    18,576x = 39,092 × 39,092
  4. Step 4: Simplify right side
    18,576x = 1,528,184,464
  5. Step 5: Solve for x
    x = 1,528,184,464/18,576
  6. Step 6: Final answer
    x = 82,266.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.