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Finding the Third Proportional to 7,996 and 12,644

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Solution

The third proportional to 7,996 and 12,644 is: 19,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996 : 12,644 = 12,644 : x
  2. Step 2: Convert to fraction form
    7,996/12,644 = 12,644/x
  3. Step 3: Cross multiply
    7,996x = 12,644 × 12,644
  4. Step 4: Simplify right side
    7,996x = 159,870,736
  5. Step 5: Solve for x
    x = 159,870,736/7,996
  6. Step 6: Final answer
    x = 19,993.84

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.