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Finding the Third Proportional to 28,170 and 43,467

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Solution

The third proportional to 28,170 and 43,467 is: 67,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,170 : 43,467 = 43,467 : x
  2. Step 2: Convert to fraction form
    28,170/43,467 = 43,467/x
  3. Step 3: Cross multiply
    28,170x = 43,467 × 43,467
  4. Step 4: Simplify right side
    28,170x = 1,889,380,089
  5. Step 5: Solve for x
    x = 1,889,380,089/28,170
  6. Step 6: Final answer
    x = 67,070.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.