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Finding the Third Proportional to 8,427 and 12,669

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Solution

The third proportional to 8,427 and 12,669 is: 19,046.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427 : 12,669 = 12,669 : x
  2. Step 2: Convert to fraction form
    8,427/12,669 = 12,669/x
  3. Step 3: Cross multiply
    8,427x = 12,669 × 12,669
  4. Step 4: Simplify right side
    8,427x = 160,503,561
  5. Step 5: Solve for x
    x = 160,503,561/8,427
  6. Step 6: Final answer
    x = 19,046.35

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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.