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Finding the Third Proportional to 11,576 and 16,398

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Solution

The third proportional to 11,576 and 16,398 is: 23,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576 : 16,398 = 16,398 : x
  2. Step 2: Convert to fraction form
    11,576/16,398 = 16,398/x
  3. Step 3: Cross multiply
    11,576x = 16,398 × 16,398
  4. Step 4: Simplify right side
    11,576x = 268,894,404
  5. Step 5: Solve for x
    x = 268,894,404/11,576
  6. Step 6: Final answer
    x = 23,228.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.