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Finding the Third Proportional to 23,678 and 48,172

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Solution

The third proportional to 23,678 and 48,172 is: 98,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678 : 48,172 = 48,172 : x
  2. Step 2: Convert to fraction form
    23,678/48,172 = 48,172/x
  3. Step 3: Cross multiply
    23,678x = 48,172 × 48,172
  4. Step 4: Simplify right side
    23,678x = 2,320,541,584
  5. Step 5: Solve for x
    x = 2,320,541,584/23,678
  6. Step 6: Final answer
    x = 98,004.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.