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Finding the Third Proportional to 7,814 and 11,982

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Solution

The third proportional to 7,814 and 11,982 is: 18,373.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814 : 11,982 = 11,982 : x
  2. Step 2: Convert to fraction form
    7,814/11,982 = 11,982/x
  3. Step 3: Cross multiply
    7,814x = 11,982 × 11,982
  4. Step 4: Simplify right side
    7,814x = 143,568,324
  5. Step 5: Solve for x
    x = 143,568,324/7,814
  6. Step 6: Final answer
    x = 18,373.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.