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Finding the Third Proportional to 5,170 and 7,467

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Solution

The third proportional to 5,170 and 7,467 is: 10,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170 : 7,467 = 7,467 : x
  2. Step 2: Convert to fraction form
    5,170/7,467 = 7,467/x
  3. Step 3: Cross multiply
    5,170x = 7,467 × 7,467
  4. Step 4: Simplify right side
    5,170x = 55,756,089
  5. Step 5: Solve for x
    x = 55,756,089/5,170
  6. Step 6: Final answer
    x = 10,784.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.