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Finding the Third Proportional to 4,477 and 9,751

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Solution

The third proportional to 4,477 and 9,751 is: 21,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477 : 9,751 = 9,751 : x
  2. Step 2: Convert to fraction form
    4,477/9,751 = 9,751/x
  3. Step 3: Cross multiply
    4,477x = 9,751 × 9,751
  4. Step 4: Simplify right side
    4,477x = 95,082,001
  5. Step 5: Solve for x
    x = 95,082,001/4,477
  6. Step 6: Final answer
    x = 21,237.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.