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Finding the Third Proportional to 8,331 and 12,900

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Solution

The third proportional to 8,331 and 12,900 is: 19,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331 : 12,900 = 12,900 : x
  2. Step 2: Convert to fraction form
    8,331/12,900 = 12,900/x
  3. Step 3: Cross multiply
    8,331x = 12,900 × 12,900
  4. Step 4: Simplify right side
    8,331x = 166,410,000
  5. Step 5: Solve for x
    x = 166,410,000/8,331
  6. Step 6: Final answer
    x = 19,974.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.