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Finding the Third Proportional to 8,899.25 and 12,067.50

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Solution

The third proportional to 8,899.25 and 12,067.50 is: 16,363.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,899.25 : 12,067.50 = 12,067.50 : x
  2. Step 2: Convert to fraction form
    8,899.25/12,067.50 = 12,067.50/x
  3. Step 3: Cross multiply
    8,899.25x = 12,067.50 × 12,067.50
  4. Step 4: Simplify right side
    8,899.25x = 145,624,556.25
  5. Step 5: Solve for x
    x = 145,624,556.25/8,899.25
  6. Step 6: Final answer
    x = 16,363.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.