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Finding the Third Proportional to 9,814 and 12,751

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Solution

The third proportional to 9,814 and 12,751 is: 16,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814 : 12,751 = 12,751 : x
  2. Step 2: Convert to fraction form
    9,814/12,751 = 12,751/x
  3. Step 3: Cross multiply
    9,814x = 12,751 × 12,751
  4. Step 4: Simplify right side
    9,814x = 162,588,001
  5. Step 5: Solve for x
    x = 162,588,001/9,814
  6. Step 6: Final answer
    x = 16,566.95

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.