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Finding the Third Proportional to 2,170 and 4,231.50

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Solution

The third proportional to 2,170 and 4,231.50 is: 8,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170 : 4,231.50 = 4,231.50 : x
  2. Step 2: Convert to fraction form
    2,170/4,231.50 = 4,231.50/x
  3. Step 3: Cross multiply
    2,170x = 4,231.50 × 4,231.50
  4. Step 4: Simplify right side
    2,170x = 17,905,592.25
  5. Step 5: Solve for x
    x = 17,905,592.25/2,170
  6. Step 6: Final answer
    x = 8,251.43

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.