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Finding the Third Proportional to 16,872 and 23,395

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Solution

The third proportional to 16,872 and 23,395 is: 32,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872 : 23,395 = 23,395 : x
  2. Step 2: Convert to fraction form
    16,872/23,395 = 23,395/x
  3. Step 3: Cross multiply
    16,872x = 23,395 × 23,395
  4. Step 4: Simplify right side
    16,872x = 547,326,025
  5. Step 5: Solve for x
    x = 547,326,025/16,872
  6. Step 6: Final answer
    x = 32,439.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.