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Finding the Third Proportional to 9,400 and 16,760

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Solution

The third proportional to 9,400 and 16,760 is: 29,882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400 : 16,760 = 16,760 : x
  2. Step 2: Convert to fraction form
    9,400/16,760 = 16,760/x
  3. Step 3: Cross multiply
    9,400x = 16,760 × 16,760
  4. Step 4: Simplify right side
    9,400x = 280,897,600
  5. Step 5: Solve for x
    x = 280,897,600/9,400
  6. Step 6: Final answer
    x = 29,882.72

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.