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Finding the Third Proportional to 8,473 and 9,751

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Solution

The third proportional to 8,473 and 9,751 is: 11,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473 : 9,751 = 9,751 : x
  2. Step 2: Convert to fraction form
    8,473/9,751 = 9,751/x
  3. Step 3: Cross multiply
    8,473x = 9,751 × 9,751
  4. Step 4: Simplify right side
    8,473x = 95,082,001
  5. Step 5: Solve for x
    x = 95,082,001/8,473
  6. Step 6: Final answer
    x = 11,221.76

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.