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Finding the Third Proportional to 8,962 and 13,427

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Solution

The third proportional to 8,962 and 13,427 is: 20,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962 : 13,427 = 13,427 : x
  2. Step 2: Convert to fraction form
    8,962/13,427 = 13,427/x
  3. Step 3: Cross multiply
    8,962x = 13,427 × 13,427
  4. Step 4: Simplify right side
    8,962x = 180,284,329
  5. Step 5: Solve for x
    x = 180,284,329/8,962
  6. Step 6: Final answer
    x = 20,116.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.