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Finding the Third Proportional to 9,751 and 23,005

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Solution

The third proportional to 9,751 and 23,005 is: 54,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751 : 23,005 = 23,005 : x
  2. Step 2: Convert to fraction form
    9,751/23,005 = 23,005/x
  3. Step 3: Cross multiply
    9,751x = 23,005 × 23,005
  4. Step 4: Simplify right side
    9,751x = 529,230,025
  5. Step 5: Solve for x
    x = 529,230,025/9,751
  6. Step 6: Final answer
    x = 54,274.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.