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Finding the Third Proportional to 8,576.25 and 12,885

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Solution

The third proportional to 8,576.25 and 12,885 is: 19,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.25 : 12,885 = 12,885 : x
  2. Step 2: Convert to fraction form
    8,576.25/12,885 = 12,885/x
  3. Step 3: Cross multiply
    8,576.25x = 12,885 × 12,885
  4. Step 4: Simplify right side
    8,576.25x = 166,023,225
  5. Step 5: Solve for x
    x = 166,023,225/8,576.25
  6. Step 6: Final answer
    x = 19,358.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.