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Finding the Third Proportional to 11,722 and 16,491

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Solution

The third proportional to 11,722 and 16,491 is: 23,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722 : 16,491 = 16,491 : x
  2. Step 2: Convert to fraction form
    11,722/16,491 = 16,491/x
  3. Step 3: Cross multiply
    11,722x = 16,491 × 16,491
  4. Step 4: Simplify right side
    11,722x = 271,953,081
  5. Step 5: Solve for x
    x = 271,953,081/11,722
  6. Step 6: Final answer
    x = 23,200.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.