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Finding the Third Proportional to 8,487.50 and 20,067

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Solution

The third proportional to 8,487.50 and 20,067 is: 47,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487.50 : 20,067 = 20,067 : x
  2. Step 2: Convert to fraction form
    8,487.50/20,067 = 20,067/x
  3. Step 3: Cross multiply
    8,487.50x = 20,067 × 20,067
  4. Step 4: Simplify right side
    8,487.50x = 402,684,489
  5. Step 5: Solve for x
    x = 402,684,489/8,487.50
  6. Step 6: Final answer
    x = 47,444.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.