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Finding the Third Proportional to 8,576.25 and 12,887.25

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Solution

The third proportional to 8,576.25 and 12,887.25 is: 19,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.25 : 12,887.25 = 12,887.25 : x
  2. Step 2: Convert to fraction form
    8,576.25/12,887.25 = 12,887.25/x
  3. Step 3: Cross multiply
    8,576.25x = 12,887.25 × 12,887.25
  4. Step 4: Simplify right side
    8,576.25x = 166,081,212.56
  5. Step 5: Solve for x
    x = 166,081,212.56/8,576.25
  6. Step 6: Final answer
    x = 19,365.25

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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.